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Finding the Fourth Proportional to 13,737.24, 18,959.76 and 7,770.76

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Solution

The fourth proportional to 13,737.24, 18,959.76 and 7,770.76 is: 10,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.24 : 18,959.76 = 7,770.76 : x
  2. Step 2: Convert to fraction form
    13,737.24/18,959.76 = 7,770.76/x
  3. Step 3: Cross multiply
    13,737.24x = 18,959.76 × 7,770.76
  4. Step 4: Simplify right side
    13,737.24x = 147,331,744.62
  5. Step 5: Solve for x
    x = 147,331,744.62/13,737.24
  6. Step 6: Final answer
    x = 10,724.99

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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.