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Finding the Fourth Proportional to 9,616.32, 14,424.48 and 7,680.83

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Solution

The fourth proportional to 9,616.32, 14,424.48 and 7,680.83 is: 11,521.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.32 : 14,424.48 = 7,680.83 : x
  2. Step 2: Convert to fraction form
    9,616.32/14,424.48 = 7,680.83/x
  3. Step 3: Cross multiply
    9,616.32x = 14,424.48 × 7,680.83
  4. Step 4: Simplify right side
    9,616.32x = 110,791,906.60
  5. Step 5: Solve for x
    x = 110,791,906.60/9,616.32
  6. Step 6: Final answer
    x = 11,521.24

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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.