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Finding the Fourth Proportional to 6,315.84, 9,472.41 and 2,155.68

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Solution

The fourth proportional to 6,315.84, 9,472.41 and 2,155.68 is: 3,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,315.84 : 9,472.41 = 2,155.68 : x
  2. Step 2: Convert to fraction form
    6,315.84/9,472.41 = 2,155.68/x
  3. Step 3: Cross multiply
    6,315.84x = 9,472.41 × 2,155.68
  4. Step 4: Simplify right side
    6,315.84x = 20,419,484.79
  5. Step 5: Solve for x
    x = 20,419,484.79/6,315.84
  6. Step 6: Final answer
    x = 3,233.06

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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.