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Finding the Fourth Proportional to 6,502.32, 9,754.49 and 2,118.76

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Solution

The fourth proportional to 6,502.32, 9,754.49 and 2,118.76 is: 3,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.32 : 9,754.49 = 2,118.76 : x
  2. Step 2: Convert to fraction form
    6,502.32/9,754.49 = 2,118.76/x
  3. Step 3: Cross multiply
    6,502.32x = 9,754.49 × 2,118.76
  4. Step 4: Simplify right side
    6,502.32x = 20,667,404.14
  5. Step 5: Solve for x
    x = 20,667,404.14/6,502.32
  6. Step 6: Final answer
    x = 3,178.47

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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.