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Finding the Fourth Proportional to 9,859.80, 14,784.12 and 3,282.42

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Solution

The fourth proportional to 9,859.80, 14,784.12 and 3,282.42 is: 4,921.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.80 : 14,784.12 = 3,282.42 : x
  2. Step 2: Convert to fraction form
    9,859.80/14,784.12 = 3,282.42/x
  3. Step 3: Cross multiply
    9,859.80x = 14,784.12 × 3,282.42
  4. Step 4: Simplify right side
    9,859.80x = 48,527,691.17
  5. Step 5: Solve for x
    x = 48,527,691.17/9,859.80
  6. Step 6: Final answer
    x = 4,921.77

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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.