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Finding the Fourth Proportional to 7,178.50, 9,906.96 and 4,034.71

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Solution

The fourth proportional to 7,178.50, 9,906.96 and 4,034.71 is: 5,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.50 : 9,906.96 = 4,034.71 : x
  2. Step 2: Convert to fraction form
    7,178.50/9,906.96 = 4,034.71/x
  3. Step 3: Cross multiply
    7,178.50x = 9,906.96 × 4,034.71
  4. Step 4: Simplify right side
    7,178.50x = 39,971,710.58
  5. Step 5: Solve for x
    x = 39,971,710.58/7,178.50
  6. Step 6: Final answer
    x = 5,568.25

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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.