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Finding the Fourth Proportional to 8,702.96, 12,033.72 and 8,562.29

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Solution

The fourth proportional to 8,702.96, 12,033.72 and 8,562.29 is: 11,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.96 : 12,033.72 = 8,562.29 : x
  2. Step 2: Convert to fraction form
    8,702.96/12,033.72 = 8,562.29/x
  3. Step 3: Cross multiply
    8,702.96x = 12,033.72 × 8,562.29
  4. Step 4: Simplify right side
    8,702.96x = 103,036,140.25
  5. Step 5: Solve for x
    x = 103,036,140.25/8,702.96
  6. Step 6: Final answer
    x = 11,839.21

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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.