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Finding the Fourth Proportional to 6,586.59, 9,856.79 and 5,401.97

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Solution

The fourth proportional to 6,586.59, 9,856.79 and 5,401.97 is: 8,084.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.59 : 9,856.79 = 5,401.97 : x
  2. Step 2: Convert to fraction form
    6,586.59/9,856.79 = 5,401.97/x
  3. Step 3: Cross multiply
    6,586.59x = 9,856.79 × 5,401.97
  4. Step 4: Simplify right side
    6,586.59x = 53,246,007.58
  5. Step 5: Solve for x
    x = 53,246,007.58/6,586.59
  6. Step 6: Final answer
    x = 8,084.00

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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.