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Finding the Fourth Proportional to 10,215.17, 15,311.86 and 5,823.17

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Solution

The fourth proportional to 10,215.17, 15,311.86 and 5,823.17 is: 8,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,215.17 : 15,311.86 = 5,823.17 : x
  2. Step 2: Convert to fraction form
    10,215.17/15,311.86 = 5,823.17/x
  3. Step 3: Cross multiply
    10,215.17x = 15,311.86 × 5,823.17
  4. Step 4: Simplify right side
    10,215.17x = 89,163,472.68
  5. Step 5: Solve for x
    x = 89,163,472.68/10,215.17
  6. Step 6: Final answer
    x = 8,728.54

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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.