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Finding the Fourth Proportional to 8,471.84, 12,707.58 and 2,315.84

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Solution

The fourth proportional to 8,471.84, 12,707.58 and 2,315.84 is: 3,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.84 : 12,707.58 = 2,315.84 : x
  2. Step 2: Convert to fraction form
    8,471.84/12,707.58 = 2,315.84/x
  3. Step 3: Cross multiply
    8,471.84x = 12,707.58 × 2,315.84
  4. Step 4: Simplify right side
    8,471.84x = 29,428,722.07
  5. Step 5: Solve for x
    x = 29,428,722.07/8,471.84
  6. Step 6: Final answer
    x = 3,473.71

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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.