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Finding the Fourth Proportional to 7,033.55, 9,700.97 and 4,200.71

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Solution

The fourth proportional to 7,033.55, 9,700.97 and 4,200.71 is: 5,793.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.55 : 9,700.97 = 4,200.71 : x
  2. Step 2: Convert to fraction form
    7,033.55/9,700.97 = 4,200.71/x
  3. Step 3: Cross multiply
    7,033.55x = 9,700.97 × 4,200.71
  4. Step 4: Simplify right side
    7,033.55x = 40,750,892.18
  5. Step 5: Solve for x
    x = 40,750,892.18/7,033.55
  6. Step 6: Final answer
    x = 5,793.79

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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.