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Finding the Fourth Proportional to 9,807.80, 14,712.78 and 2,882.30

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Solution

The fourth proportional to 9,807.80, 14,712.78 and 2,882.30 is: 4,323.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.80 : 14,712.78 = 2,882.30 : x
  2. Step 2: Convert to fraction form
    9,807.80/14,712.78 = 2,882.30/x
  3. Step 3: Cross multiply
    9,807.80x = 14,712.78 × 2,882.30
  4. Step 4: Simplify right side
    9,807.80x = 42,406,645.79
  5. Step 5: Solve for x
    x = 42,406,645.79/9,807.80
  6. Step 6: Final answer
    x = 4,323.77

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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.