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Finding the Fourth Proportional to 8,374.86, 11,557.08 and 5,019.57

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Solution

The fourth proportional to 8,374.86, 11,557.08 and 5,019.57 is: 6,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,374.86 : 11,557.08 = 5,019.57 : x
  2. Step 2: Convert to fraction form
    8,374.86/11,557.08 = 5,019.57/x
  3. Step 3: Cross multiply
    8,374.86x = 11,557.08 × 5,019.57
  4. Step 4: Simplify right side
    8,374.86x = 58,011,572.06
  5. Step 5: Solve for x
    x = 58,011,572.06/8,374.86
  6. Step 6: Final answer
    x = 6,926.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.