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Finding the Fourth Proportional to 8,099.61, 11,182.31 and 5,859.15

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Solution

The fourth proportional to 8,099.61, 11,182.31 and 5,859.15 is: 8,089.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.61 : 11,182.31 = 5,859.15 : x
  2. Step 2: Convert to fraction form
    8,099.61/11,182.31 = 5,859.15/x
  3. Step 3: Cross multiply
    8,099.61x = 11,182.31 × 5,859.15
  4. Step 4: Simplify right side
    8,099.61x = 65,518,802.34
  5. Step 5: Solve for x
    x = 65,518,802.34/8,099.61
  6. Step 6: Final answer
    x = 8,089.13

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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.