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Finding the Fourth Proportional to 7,391.59, 10,200.39 and 4,204.87

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Solution

The fourth proportional to 7,391.59, 10,200.39 and 4,204.87 is: 5,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.59 : 10,200.39 = 4,204.87 : x
  2. Step 2: Convert to fraction form
    7,391.59/10,200.39 = 4,204.87/x
  3. Step 3: Cross multiply
    7,391.59x = 10,200.39 × 4,204.87
  4. Step 4: Simplify right side
    7,391.59x = 42,891,313.90
  5. Step 5: Solve for x
    x = 42,891,313.90/7,391.59
  6. Step 6: Final answer
    x = 5,802.72

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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.