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Finding the Fourth Proportional to 6,098.14, 9,095.69 and 5,913.55

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Solution

The fourth proportional to 6,098.14, 9,095.69 and 5,913.55 is: 8,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.14 : 9,095.69 = 5,913.55 : x
  2. Step 2: Convert to fraction form
    6,098.14/9,095.69 = 5,913.55/x
  3. Step 3: Cross multiply
    6,098.14x = 9,095.69 × 5,913.55
  4. Step 4: Simplify right side
    6,098.14x = 53,787,817.60
  5. Step 5: Solve for x
    x = 53,787,817.60/6,098.14
  6. Step 6: Final answer
    x = 8,820.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.