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Finding the Fourth Proportional to 22,366.10, 33,549.15 and 9,214.10

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Solution

The fourth proportional to 22,366.10, 33,549.15 and 9,214.10 is: 13,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366.10 : 33,549.15 = 9,214.10 : x
  2. Step 2: Convert to fraction form
    22,366.10/33,549.15 = 9,214.10/x
  3. Step 3: Cross multiply
    22,366.10x = 33,549.15 × 9,214.10
  4. Step 4: Simplify right side
    22,366.10x = 309,125,223.02
  5. Step 5: Solve for x
    x = 309,125,223.02/22,366.10
  6. Step 6: Final answer
    x = 13,821.15

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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.