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Finding the Fourth Proportional to 7,842.62, 10,752.65 and 7,702.29

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Solution

The fourth proportional to 7,842.62, 10,752.65 and 7,702.29 is: 10,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.62 : 10,752.65 = 7,702.29 : x
  2. Step 2: Convert to fraction form
    7,842.62/10,752.65 = 7,702.29/x
  3. Step 3: Cross multiply
    7,842.62x = 10,752.65 × 7,702.29
  4. Step 4: Simplify right side
    7,842.62x = 82,820,018.94
  5. Step 5: Solve for x
    x = 82,820,018.94/7,842.62
  6. Step 6: Final answer
    x = 10,560.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.