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Finding the Fourth Proportional to 6,312.71, 8,711.60 and 3,480.20

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Solution

The fourth proportional to 6,312.71, 8,711.60 and 3,480.20 is: 4,802.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.71 : 8,711.60 = 3,480.20 : x
  2. Step 2: Convert to fraction form
    6,312.71/8,711.60 = 3,480.20/x
  3. Step 3: Cross multiply
    6,312.71x = 8,711.60 × 3,480.20
  4. Step 4: Simplify right side
    6,312.71x = 30,318,083.23
  5. Step 5: Solve for x
    x = 30,318,083.23/6,312.71
  6. Step 6: Final answer
    x = 4,802.71

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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.