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Finding the Fourth Proportional to 9,619.60, 14,440.20 and 5,726.20

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Solution

The fourth proportional to 9,619.60, 14,440.20 and 5,726.20 is: 8,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.60 : 14,440.20 = 5,726.20 : x
  2. Step 2: Convert to fraction form
    9,619.60/14,440.20 = 5,726.20/x
  3. Step 3: Cross multiply
    9,619.60x = 14,440.20 × 5,726.20
  4. Step 4: Simplify right side
    9,619.60x = 82,687,473.24
  5. Step 5: Solve for x
    x = 82,687,473.24/9,619.60
  6. Step 6: Final answer
    x = 8,595.73

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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.