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Finding the Fourth Proportional to 9,807.20, 14,712.42 and 3,234.92

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Solution

The fourth proportional to 9,807.20, 14,712.42 and 3,234.92 is: 4,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.20 : 14,712.42 = 3,234.92 : x
  2. Step 2: Convert to fraction form
    9,807.20/14,712.42 = 3,234.92/x
  3. Step 3: Cross multiply
    9,807.20x = 14,712.42 × 3,234.92
  4. Step 4: Simplify right side
    9,807.20x = 47,593,501.71
  5. Step 5: Solve for x
    x = 47,593,501.71/9,807.20
  6. Step 6: Final answer
    x = 4,852.91

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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.