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Finding the Fourth Proportional to 9,882.80, 14,824.12 and 4,035.31

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Solution

The fourth proportional to 9,882.80, 14,824.12 and 4,035.31 is: 6,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.80 : 14,824.12 = 4,035.31 : x
  2. Step 2: Convert to fraction form
    9,882.80/14,824.12 = 4,035.31/x
  3. Step 3: Cross multiply
    9,882.80x = 14,824.12 × 4,035.31
  4. Step 4: Simplify right side
    9,882.80x = 59,819,899.50
  5. Step 5: Solve for x
    x = 59,819,899.50/9,882.80
  6. Step 6: Final answer
    x = 6,052.93

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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.