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Finding the Fourth Proportional to 10,162.44, 14,024.88 and 5,973.12

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Solution

The fourth proportional to 10,162.44, 14,024.88 and 5,973.12 is: 8,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,162.44 : 14,024.88 = 5,973.12 : x
  2. Step 2: Convert to fraction form
    10,162.44/14,024.88 = 5,973.12/x
  3. Step 3: Cross multiply
    10,162.44x = 14,024.88 × 5,973.12
  4. Step 4: Simplify right side
    10,162.44x = 83,772,291.23
  5. Step 5: Solve for x
    x = 83,772,291.23/10,162.44
  6. Step 6: Final answer
    x = 8,243.32

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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.