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Finding the Fourth Proportional to 10,687.62, 14,753.04 and 9,566.58

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Solution

The fourth proportional to 10,687.62, 14,753.04 and 9,566.58 is: 13,205.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.62 : 14,753.04 = 9,566.58 : x
  2. Step 2: Convert to fraction form
    10,687.62/14,753.04 = 9,566.58/x
  3. Step 3: Cross multiply
    10,687.62x = 14,753.04 × 9,566.58
  4. Step 4: Simplify right side
    10,687.62x = 141,136,156.85
  5. Step 5: Solve for x
    x = 141,136,156.85/10,687.62
  6. Step 6: Final answer
    x = 13,205.57

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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.