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Finding the Fourth Proportional to 8,107.71, 11,187.20 and 4,570.92

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Solution

The fourth proportional to 8,107.71, 11,187.20 and 4,570.92 is: 6,307.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.71 : 11,187.20 = 4,570.92 : x
  2. Step 2: Convert to fraction form
    8,107.71/11,187.20 = 4,570.92/x
  3. Step 3: Cross multiply
    8,107.71x = 11,187.20 × 4,570.92
  4. Step 4: Simplify right side
    8,107.71x = 51,135,796.22
  5. Step 5: Solve for x
    x = 51,135,796.22/8,107.71
  6. Step 6: Final answer
    x = 6,307.06

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Half scale
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Double scale
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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.