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Finding the Fourth Proportional to 9,396.52, 14,159.32 and 7,789.12

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Solution

The fourth proportional to 9,396.52, 14,159.32 and 7,789.12 is: 11,737.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.52 : 14,159.32 = 7,789.12 : x
  2. Step 2: Convert to fraction form
    9,396.52/14,159.32 = 7,789.12/x
  3. Step 3: Cross multiply
    9,396.52x = 14,159.32 × 7,789.12
  4. Step 4: Simplify right side
    9,396.52x = 110,288,642.60
  5. Step 5: Solve for x
    x = 110,288,642.60/9,396.52
  6. Step 6: Final answer
    x = 11,737.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.