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Finding the Fourth Proportional to 10,377.68, 14,304.13 and 7,353.81

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Solution

The fourth proportional to 10,377.68, 14,304.13 and 7,353.81 is: 10,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.68 : 14,304.13 = 7,353.81 : x
  2. Step 2: Convert to fraction form
    10,377.68/14,304.13 = 7,353.81/x
  3. Step 3: Cross multiply
    10,377.68x = 14,304.13 × 7,353.81
  4. Step 4: Simplify right side
    10,377.68x = 105,189,835.85
  5. Step 5: Solve for x
    x = 105,189,835.85/10,377.68
  6. Step 6: Final answer
    x = 10,136.17

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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.