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Finding the Fourth Proportional to 12,899.58, 17,798.31 and 8,182.14

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Solution

The fourth proportional to 12,899.58, 17,798.31 and 8,182.14 is: 11,289.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,899.58 : 17,798.31 = 8,182.14 : x
  2. Step 2: Convert to fraction form
    12,899.58/17,798.31 = 8,182.14/x
  3. Step 3: Cross multiply
    12,899.58x = 17,798.31 × 8,182.14
  4. Step 4: Simplify right side
    12,899.58x = 145,628,264.18
  5. Step 5: Solve for x
    x = 145,628,264.18/12,899.58
  6. Step 6: Final answer
    x = 11,289.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.