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Finding the Fourth Proportional to 6,416.88, 9,560.80 and 6,082.08

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Solution

The fourth proportional to 6,416.88, 9,560.80 and 6,082.08 is: 9,061.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.88 : 9,560.80 = 6,082.08 : x
  2. Step 2: Convert to fraction form
    6,416.88/9,560.80 = 6,082.08/x
  3. Step 3: Cross multiply
    6,416.88x = 9,560.80 × 6,082.08
  4. Step 4: Simplify right side
    6,416.88x = 58,149,550.46
  5. Step 5: Solve for x
    x = 58,149,550.46/6,416.88
  6. Step 6: Final answer
    x = 9,061.97

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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.