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Finding the Fourth Proportional to 8,822.88, 12,174.64 and 5,286.24

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Solution

The fourth proportional to 8,822.88, 12,174.64 and 5,286.24 is: 7,294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.88 : 12,174.64 = 5,286.24 : x
  2. Step 2: Convert to fraction form
    8,822.88/12,174.64 = 5,286.24/x
  3. Step 3: Cross multiply
    8,822.88x = 12,174.64 × 5,286.24
  4. Step 4: Simplify right side
    8,822.88x = 64,358,068.95
  5. Step 5: Solve for x
    x = 64,358,068.95/8,822.88
  6. Step 6: Final answer
    x = 7,294.45

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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.