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Finding the Fourth Proportional to 7,114.31, 9,818.17 and 3,970.70

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Solution

The fourth proportional to 7,114.31, 9,818.17 and 3,970.70 is: 5,479.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.31 : 9,818.17 = 3,970.70 : x
  2. Step 2: Convert to fraction form
    7,114.31/9,818.17 = 3,970.70/x
  3. Step 3: Cross multiply
    7,114.31x = 9,818.17 × 3,970.70
  4. Step 4: Simplify right side
    7,114.31x = 38,984,958.53
  5. Step 5: Solve for x
    x = 38,984,958.53/7,114.31
  6. Step 6: Final answer
    x = 5,479.80

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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.