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Finding the Fourth Proportional to 6,614.42, 9,885.85 and 6,089.04

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Solution

The fourth proportional to 6,614.42, 9,885.85 and 6,089.04 is: 9,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.42 : 9,885.85 = 6,089.04 : x
  2. Step 2: Convert to fraction form
    6,614.42/9,885.85 = 6,089.04/x
  3. Step 3: Cross multiply
    6,614.42x = 9,885.85 × 6,089.04
  4. Step 4: Simplify right side
    6,614.42x = 60,195,320.86
  5. Step 5: Solve for x
    x = 60,195,320.86/6,614.42
  6. Step 6: Final answer
    x = 9,100.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.