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Finding the Fourth Proportional to 15,243, 22,856.16 and 8,231.40

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Solution

The fourth proportional to 15,243, 22,856.16 and 8,231.40 is: 12,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,243 : 22,856.16 = 8,231.40 : x
  2. Step 2: Convert to fraction form
    15,243/22,856.16 = 8,231.40/x
  3. Step 3: Cross multiply
    15,243x = 22,856.16 × 8,231.40
  4. Step 4: Simplify right side
    15,243x = 188,138,195.42
  5. Step 5: Solve for x
    x = 188,138,195.42/15,243
  6. Step 6: Final answer
    x = 12,342.60

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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.