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Finding the Fourth Proportional to 7,391.60, 10,200.54 and 5,800.14

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Solution

The fourth proportional to 7,391.60, 10,200.54 and 5,800.14 is: 8,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,391.60 : 10,200.54 = 5,800.14 : x
  2. Step 2: Convert to fraction form
    7,391.60/10,200.54 = 5,800.14/x
  3. Step 3: Cross multiply
    7,391.60x = 10,200.54 × 5,800.14
  4. Step 4: Simplify right side
    7,391.60x = 59,164,560.08
  5. Step 5: Solve for x
    x = 59,164,560.08/7,391.60
  6. Step 6: Final answer
    x = 8,004.30

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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.