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Finding the Fourth Proportional to 9,224.78, 12,726.36 and 5,869.44

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Solution

The fourth proportional to 9,224.78, 12,726.36 and 5,869.44 is: 8,097.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.78 : 12,726.36 = 5,869.44 : x
  2. Step 2: Convert to fraction form
    9,224.78/12,726.36 = 5,869.44/x
  3. Step 3: Cross multiply
    9,224.78x = 12,726.36 × 5,869.44
  4. Step 4: Simplify right side
    9,224.78x = 74,696,606.44
  5. Step 5: Solve for x
    x = 74,696,606.44/9,224.78
  6. Step 6: Final answer
    x = 8,097.39

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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.