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Finding the Fourth Proportional to 10,441.71, 15,658.31 and 4,896.86

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Solution

The fourth proportional to 10,441.71, 15,658.31 and 4,896.86 is: 7,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.71 : 15,658.31 = 4,896.86 : x
  2. Step 2: Convert to fraction form
    10,441.71/15,658.31 = 4,896.86/x
  3. Step 3: Cross multiply
    10,441.71x = 15,658.31 × 4,896.86
  4. Step 4: Simplify right side
    10,441.71x = 76,676,485.86
  5. Step 5: Solve for x
    x = 76,676,485.86/10,441.71
  6. Step 6: Final answer
    x = 7,343.29

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1.5x scale

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.