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Finding the Fourth Proportional to 9,807.80, 14,712.90 and 3,232.20

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Solution

The fourth proportional to 9,807.80, 14,712.90 and 3,232.20 is: 4,848.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.80 : 14,712.90 = 3,232.20 : x
  2. Step 2: Convert to fraction form
    9,807.80/14,712.90 = 3,232.20/x
  3. Step 3: Cross multiply
    9,807.80x = 14,712.90 × 3,232.20
  4. Step 4: Simplify right side
    9,807.80x = 47,555,035.38
  5. Step 5: Solve for x
    x = 47,555,035.38/9,807.80
  6. Step 6: Final answer
    x = 4,848.70

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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.