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Finding the Fourth Proportional to 6,065.48, 9,098.19 and 4,835.30

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Solution

The fourth proportional to 6,065.48, 9,098.19 and 4,835.30 is: 7,252.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.48 : 9,098.19 = 4,835.30 : x
  2. Step 2: Convert to fraction form
    6,065.48/9,098.19 = 4,835.30/x
  3. Step 3: Cross multiply
    6,065.48x = 9,098.19 × 4,835.30
  4. Step 4: Simplify right side
    6,065.48x = 43,992,432.62
  5. Step 5: Solve for x
    x = 43,992,432.62/6,065.48
  6. Step 6: Final answer
    x = 7,252.92

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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.