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Finding the Fourth Proportional to 5,332.40, 7,986.24 and 5,147.84

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Solution

The fourth proportional to 5,332.40, 7,986.24 and 5,147.84 is: 7,709.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,332.40 : 7,986.24 = 5,147.84 : x
  2. Step 2: Convert to fraction form
    5,332.40/7,986.24 = 5,147.84/x
  3. Step 3: Cross multiply
    5,332.40x = 7,986.24 × 5,147.84
  4. Step 4: Simplify right side
    5,332.40x = 41,111,885.72
  5. Step 5: Solve for x
    x = 41,111,885.72/5,332.40
  6. Step 6: Final answer
    x = 7,709.83

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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.