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Finding the Fourth Proportional to 6,586.09, 9,856.03 and 5,401.47

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Solution

The fourth proportional to 6,586.09, 9,856.03 and 5,401.47 is: 8,083.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.09 : 9,856.03 = 5,401.47 : x
  2. Step 2: Convert to fraction form
    6,586.09/9,856.03 = 5,401.47/x
  3. Step 3: Cross multiply
    6,586.09x = 9,856.03 × 5,401.47
  4. Step 4: Simplify right side
    6,586.09x = 53,237,050.36
  5. Step 5: Solve for x
    x = 53,237,050.36/6,586.09
  6. Step 6: Final answer
    x = 8,083.26

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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.