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Finding the Fourth Proportional to 8,822.70, 12,175.14 and 5,046.08

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Solution

The fourth proportional to 8,822.70, 12,175.14 and 5,046.08 is: 6,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.70 : 12,175.14 = 5,046.08 : x
  2. Step 2: Convert to fraction form
    8,822.70/12,175.14 = 5,046.08/x
  3. Step 3: Cross multiply
    8,822.70x = 12,175.14 × 5,046.08
  4. Step 4: Simplify right side
    8,822.70x = 61,436,730.45
  5. Step 5: Solve for x
    x = 61,436,730.45/8,822.70
  6. Step 6: Final answer
    x = 6,963.48

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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.