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Finding the Fourth Proportional to 8,494.64, 11,723.20 and 5,351.52

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Solution

The fourth proportional to 8,494.64, 11,723.20 and 5,351.52 is: 7,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.64 : 11,723.20 = 5,351.52 : x
  2. Step 2: Convert to fraction form
    8,494.64/11,723.20 = 5,351.52/x
  3. Step 3: Cross multiply
    8,494.64x = 11,723.20 × 5,351.52
  4. Step 4: Simplify right side
    8,494.64x = 62,736,939.26
  5. Step 5: Solve for x
    x = 62,736,939.26/8,494.64
  6. Step 6: Final answer
    x = 7,385.47

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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.