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Finding the Fourth Proportional to 10,226, 15,249.50 and 10,132.58

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Solution

The fourth proportional to 10,226, 15,249.50 and 10,132.58 is: 15,110.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226 : 15,249.50 = 10,132.58 : x
  2. Step 2: Convert to fraction form
    10,226/15,249.50 = 10,132.58/x
  3. Step 3: Cross multiply
    10,226x = 15,249.50 × 10,132.58
  4. Step 4: Simplify right side
    10,226x = 154,516,728.05
  5. Step 5: Solve for x
    x = 154,516,728.05/10,226
  6. Step 6: Final answer
    x = 15,110.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.