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Finding the Fourth Proportional to 10,624.53, 16,000.04 and 9,254.41

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Solution

The fourth proportional to 10,624.53, 16,000.04 and 9,254.41 is: 13,936.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,624.53 : 16,000.04 = 9,254.41 : x
  2. Step 2: Convert to fraction form
    10,624.53/16,000.04 = 9,254.41/x
  3. Step 3: Cross multiply
    10,624.53x = 16,000.04 × 9,254.41
  4. Step 4: Simplify right side
    10,624.53x = 148,070,864.78
  5. Step 5: Solve for x
    x = 148,070,864.78/10,624.53
  6. Step 6: Final answer
    x = 13,936.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.