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Finding the Fourth Proportional to 9,463.68, 14,141.04 and 7,229.76

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Solution

The fourth proportional to 9,463.68, 14,141.04 and 7,229.76 is: 10,803.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.68 : 14,141.04 = 7,229.76 : x
  2. Step 2: Convert to fraction form
    9,463.68/14,141.04 = 7,229.76/x
  3. Step 3: Cross multiply
    9,463.68x = 14,141.04 × 7,229.76
  4. Step 4: Simplify right side
    9,463.68x = 102,236,325.35
  5. Step 5: Solve for x
    x = 102,236,325.35/9,463.68
  6. Step 6: Final answer
    x = 10,803.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.