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Finding the Fourth Proportional to 7,147.60, 10,708.42 and 6,992.08

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Solution

The fourth proportional to 7,147.60, 10,708.42 and 6,992.08 is: 10,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.60 : 10,708.42 = 6,992.08 : x
  2. Step 2: Convert to fraction form
    7,147.60/10,708.42 = 6,992.08/x
  3. Step 3: Cross multiply
    7,147.60x = 10,708.42 × 6,992.08
  4. Step 4: Simplify right side
    7,147.60x = 74,874,129.31
  5. Step 5: Solve for x
    x = 74,874,129.31/7,147.60
  6. Step 6: Final answer
    x = 10,475.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.