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Finding the Fourth Proportional to 9,892.48, 13,648.08 and 5,913.76

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Solution

The fourth proportional to 9,892.48, 13,648.08 and 5,913.76 is: 8,158.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.48 : 13,648.08 = 5,913.76 : x
  2. Step 2: Convert to fraction form
    9,892.48/13,648.08 = 5,913.76/x
  3. Step 3: Cross multiply
    9,892.48x = 13,648.08 × 5,913.76
  4. Step 4: Simplify right side
    9,892.48x = 80,711,469.58
  5. Step 5: Solve for x
    x = 80,711,469.58/9,892.48
  6. Step 6: Final answer
    x = 8,158.87

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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.