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Finding the Fourth Proportional to 9,808.56, 14,712.84 and 2,882.52

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Solution

The fourth proportional to 9,808.56, 14,712.84 and 2,882.52 is: 4,323.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.56 : 14,712.84 = 2,882.52 : x
  2. Step 2: Convert to fraction form
    9,808.56/14,712.84 = 2,882.52/x
  3. Step 3: Cross multiply
    9,808.56x = 14,712.84 × 2,882.52
  4. Step 4: Simplify right side
    9,808.56x = 42,410,055.56
  5. Step 5: Solve for x
    x = 42,410,055.56/9,808.56
  6. Step 6: Final answer
    x = 4,323.78

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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.