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Finding the Fourth Proportional to 22,454.61, 33,663.64 and 8,406.76

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Solution

The fourth proportional to 22,454.61, 33,663.64 and 8,406.76 is: 12,603.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,454.61 : 33,663.64 = 8,406.76 : x
  2. Step 2: Convert to fraction form
    22,454.61/33,663.64 = 8,406.76/x
  3. Step 3: Cross multiply
    22,454.61x = 33,663.64 × 8,406.76
  4. Step 4: Simplify right side
    22,454.61x = 283,002,142.21
  5. Step 5: Solve for x
    x = 283,002,142.21/22,454.61
  6. Step 6: Final answer
    x = 12,603.30

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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.