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Finding the Fourth Proportional to 6,585.12, 9,792.99 and 6,377.49

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Solution

The fourth proportional to 6,585.12, 9,792.99 and 6,377.49 is: 9,484.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.12 : 9,792.99 = 6,377.49 : x
  2. Step 2: Convert to fraction form
    6,585.12/9,792.99 = 6,377.49/x
  3. Step 3: Cross multiply
    6,585.12x = 9,792.99 × 6,377.49
  4. Step 4: Simplify right side
    6,585.12x = 62,454,695.80
  5. Step 5: Solve for x
    x = 62,454,695.80/6,585.12
  6. Step 6: Final answer
    x = 9,484.22

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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.