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Finding the Fourth Proportional to 9,793.36, 14,663.80 and 8,238.16

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Solution

The fourth proportional to 9,793.36, 14,663.80 and 8,238.16 is: 12,335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.36 : 14,663.80 = 8,238.16 : x
  2. Step 2: Convert to fraction form
    9,793.36/14,663.80 = 8,238.16/x
  3. Step 3: Cross multiply
    9,793.36x = 14,663.80 × 8,238.16
  4. Step 4: Simplify right side
    9,793.36x = 120,802,730.61
  5. Step 5: Solve for x
    x = 120,802,730.61/9,793.36
  6. Step 6: Final answer
    x = 12,335.17

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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.