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Finding the Fourth Proportional to 10,622.48, 15,939.96 and 9,482

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Solution

The fourth proportional to 10,622.48, 15,939.96 and 9,482 is: 14,228.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.48 : 15,939.96 = 9,482 : x
  2. Step 2: Convert to fraction form
    10,622.48/15,939.96 = 9,482/x
  3. Step 3: Cross multiply
    10,622.48x = 15,939.96 × 9,482
  4. Step 4: Simplify right side
    10,622.48x = 151,142,700.72
  5. Step 5: Solve for x
    x = 151,142,700.72/10,622.48
  6. Step 6: Final answer
    x = 14,228.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.