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Finding the Fourth Proportional to 10,375.75, 14,318.54 and 5,660.13

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Solution

The fourth proportional to 10,375.75, 14,318.54 and 5,660.13 is: 7,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.75 : 14,318.54 = 5,660.13 : x
  2. Step 2: Convert to fraction form
    10,375.75/14,318.54 = 5,660.13/x
  3. Step 3: Cross multiply
    10,375.75x = 14,318.54 × 5,660.13
  4. Step 4: Simplify right side
    10,375.75x = 81,044,797.81
  5. Step 5: Solve for x
    x = 81,044,797.81/10,375.75
  6. Step 6: Final answer
    x = 7,810.98

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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.