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Finding the Fourth Proportional to 8,774.78, 12,108.02 and 5,635.22

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Solution

The fourth proportional to 8,774.78, 12,108.02 and 5,635.22 is: 7,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.78 : 12,108.02 = 5,635.22 : x
  2. Step 2: Convert to fraction form
    8,774.78/12,108.02 = 5,635.22/x
  3. Step 3: Cross multiply
    8,774.78x = 12,108.02 × 5,635.22
  4. Step 4: Simplify right side
    8,774.78x = 68,231,356.46
  5. Step 5: Solve for x
    x = 68,231,356.46/8,774.78
  6. Step 6: Final answer
    x = 7,775.85

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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.