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Finding the Fourth Proportional to 9,809.22, 14,695.29 and 7,591.85

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Solution

The fourth proportional to 9,809.22, 14,695.29 and 7,591.85 is: 11,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.22 : 14,695.29 = 7,591.85 : x
  2. Step 2: Convert to fraction form
    9,809.22/14,695.29 = 7,591.85/x
  3. Step 3: Cross multiply
    9,809.22x = 14,695.29 × 7,591.85
  4. Step 4: Simplify right side
    9,809.22x = 111,564,363.91
  5. Step 5: Solve for x
    x = 111,564,363.91/9,809.22
  6. Step 6: Final answer
    x = 11,373.42

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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.