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Finding the Fourth Proportional to 6,570.91, 9,868.11 and 6,306.64

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Solution

The fourth proportional to 6,570.91, 9,868.11 and 6,306.64 is: 9,471.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.91 : 9,868.11 = 6,306.64 : x
  2. Step 2: Convert to fraction form
    6,570.91/9,868.11 = 6,306.64/x
  3. Step 3: Cross multiply
    6,570.91x = 9,868.11 × 6,306.64
  4. Step 4: Simplify right side
    6,570.91x = 62,234,617.25
  5. Step 5: Solve for x
    x = 62,234,617.25/6,570.91
  6. Step 6: Final answer
    x = 9,471.23

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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.