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Finding the Fourth Proportional to 8,894.62, 12,280.30 and 5,709.29

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Solution

The fourth proportional to 8,894.62, 12,280.30 and 5,709.29 is: 7,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.62 : 12,280.30 = 5,709.29 : x
  2. Step 2: Convert to fraction form
    8,894.62/12,280.30 = 5,709.29/x
  3. Step 3: Cross multiply
    8,894.62x = 12,280.30 × 5,709.29
  4. Step 4: Simplify right side
    8,894.62x = 70,111,793.99
  5. Step 5: Solve for x
    x = 70,111,793.99/8,894.62
  6. Step 6: Final answer
    x = 7,882.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.