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Finding the Fourth Proportional to 7,113.67, 9,817.13 and 3,970.46

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Solution

The fourth proportional to 7,113.67, 9,817.13 and 3,970.46 is: 5,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,113.67 : 9,817.13 = 3,970.46 : x
  2. Step 2: Convert to fraction form
    7,113.67/9,817.13 = 3,970.46/x
  3. Step 3: Cross multiply
    7,113.67x = 9,817.13 × 3,970.46
  4. Step 4: Simplify right side
    7,113.67x = 38,978,502.13
  5. Step 5: Solve for x
    x = 38,978,502.13/7,113.67
  6. Step 6: Final answer
    x = 5,479.38

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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.