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Finding the Fourth Proportional to 6,097.60, 9,138.30 and 4,364.20

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Solution

The fourth proportional to 6,097.60, 9,138.30 and 4,364.20 is: 6,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.60 : 9,138.30 = 4,364.20 : x
  2. Step 2: Convert to fraction form
    6,097.60/9,138.30 = 4,364.20/x
  3. Step 3: Cross multiply
    6,097.60x = 9,138.30 × 4,364.20
  4. Step 4: Simplify right side
    6,097.60x = 39,881,368.86
  5. Step 5: Solve for x
    x = 39,881,368.86/6,097.60
  6. Step 6: Final answer
    x = 6,540.50

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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.