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Finding the Fourth Proportional to 5,842.62, 8,104.14 and 5,632.47

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Solution

The fourth proportional to 5,842.62, 8,104.14 and 5,632.47 is: 7,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.62 : 8,104.14 = 5,632.47 : x
  2. Step 2: Convert to fraction form
    5,842.62/8,104.14 = 5,632.47/x
  3. Step 3: Cross multiply
    5,842.62x = 8,104.14 × 5,632.47
  4. Step 4: Simplify right side
    5,842.62x = 45,646,325.43
  5. Step 5: Solve for x
    x = 45,646,325.43/5,842.62
  6. Step 6: Final answer
    x = 7,812.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.