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Finding the Fourth Proportional to 28,425.53, 42,642.17 and 9,700.53

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Solution

The fourth proportional to 28,425.53, 42,642.17 and 9,700.53 is: 14,552.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,425.53 : 42,642.17 = 9,700.53 : x
  2. Step 2: Convert to fraction form
    28,425.53/42,642.17 = 9,700.53/x
  3. Step 3: Cross multiply
    28,425.53x = 42,642.17 × 9,700.53
  4. Step 4: Simplify right side
    28,425.53x = 413,651,649.35
  5. Step 5: Solve for x
    x = 413,651,649.35/28,425.53
  6. Step 6: Final answer
    x = 14,552.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.