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Finding the Fourth Proportional to 7,114.01, 9,817.49 and 3,970.13

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Solution

The fourth proportional to 7,114.01, 9,817.49 and 3,970.13 is: 5,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.01 : 9,817.49 = 3,970.13 : x
  2. Step 2: Convert to fraction form
    7,114.01/9,817.49 = 3,970.13/x
  3. Step 3: Cross multiply
    7,114.01x = 9,817.49 × 3,970.13
  4. Step 4: Simplify right side
    7,114.01x = 38,976,711.57
  5. Step 5: Solve for x
    x = 38,976,711.57/7,114.01
  6. Step 6: Final answer
    x = 5,478.87

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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.