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Finding the Fourth Proportional to 6,184.50, 9,253.46 and 4,339.26

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Solution

The fourth proportional to 6,184.50, 9,253.46 and 4,339.26 is: 6,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.50 : 9,253.46 = 4,339.26 : x
  2. Step 2: Convert to fraction form
    6,184.50/9,253.46 = 4,339.26/x
  3. Step 3: Cross multiply
    6,184.50x = 9,253.46 × 4,339.26
  4. Step 4: Simplify right side
    6,184.50x = 40,153,147.14
  5. Step 5: Solve for x
    x = 40,153,147.14/6,184.50
  6. Step 6: Final answer
    x = 6,492.55

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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.