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Finding the Fourth Proportional to 15,166.17, 22,734.32 and 7,259.58

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Solution

The fourth proportional to 15,166.17, 22,734.32 and 7,259.58 is: 10,882.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,166.17 : 22,734.32 = 7,259.58 : x
  2. Step 2: Convert to fraction form
    15,166.17/22,734.32 = 7,259.58/x
  3. Step 3: Cross multiply
    15,166.17x = 22,734.32 × 7,259.58
  4. Step 4: Simplify right side
    15,166.17x = 165,041,578.49
  5. Step 5: Solve for x
    x = 165,041,578.49/15,166.17
  6. Step 6: Final answer
    x = 10,882.22

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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.