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Finding the Fourth Proportional to 15,737.69, 21,715.76 and 9,023.60

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Solution

The fourth proportional to 15,737.69, 21,715.76 and 9,023.60 is: 12,451.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.69 : 21,715.76 = 9,023.60 : x
  2. Step 2: Convert to fraction form
    15,737.69/21,715.76 = 9,023.60/x
  3. Step 3: Cross multiply
    15,737.69x = 21,715.76 × 9,023.60
  4. Step 4: Simplify right side
    15,737.69x = 195,954,408.78
  5. Step 5: Solve for x
    x = 195,954,408.78/15,737.69
  6. Step 6: Final answer
    x = 12,451.28

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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.