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Finding the Fourth Proportional to 8,278.06, 11,423.91 and 4,552.06

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Solution

The fourth proportional to 8,278.06, 11,423.91 and 4,552.06 is: 6,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.06 : 11,423.91 = 4,552.06 : x
  2. Step 2: Convert to fraction form
    8,278.06/11,423.91 = 4,552.06/x
  3. Step 3: Cross multiply
    8,278.06x = 11,423.91 × 4,552.06
  4. Step 4: Simplify right side
    8,278.06x = 52,002,323.75
  5. Step 5: Solve for x
    x = 52,002,323.75/8,278.06
  6. Step 6: Final answer
    x = 6,281.95

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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.