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Finding the Fourth Proportional to 7,644.43, 10,549.74 and 5,752.61

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Solution

The fourth proportional to 7,644.43, 10,549.74 and 5,752.61 is: 7,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.43 : 10,549.74 = 5,752.61 : x
  2. Step 2: Convert to fraction form
    7,644.43/10,549.74 = 5,752.61/x
  3. Step 3: Cross multiply
    7,644.43x = 10,549.74 × 5,752.61
  4. Step 4: Simplify right side
    7,644.43x = 60,688,539.82
  5. Step 5: Solve for x
    x = 60,688,539.82/7,644.43
  6. Step 6: Final answer
    x = 7,938.92

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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.