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Finding the Fourth Proportional to 6,298.52, 9,444.54 and 2,600.06

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Solution

The fourth proportional to 6,298.52, 9,444.54 and 2,600.06 is: 3,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.52 : 9,444.54 = 2,600.06 : x
  2. Step 2: Convert to fraction form
    6,298.52/9,444.54 = 2,600.06/x
  3. Step 3: Cross multiply
    6,298.52x = 9,444.54 × 2,600.06
  4. Step 4: Simplify right side
    6,298.52x = 24,556,370.67
  5. Step 5: Solve for x
    x = 24,556,370.67/6,298.52
  6. Step 6: Final answer
    x = 3,898.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.