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Finding the Fourth Proportional to 6,562.38, 9,844.55 and 2,345.31

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Solution

The fourth proportional to 6,562.38, 9,844.55 and 2,345.31 is: 3,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.38 : 9,844.55 = 2,345.31 : x
  2. Step 2: Convert to fraction form
    6,562.38/9,844.55 = 2,345.31/x
  3. Step 3: Cross multiply
    6,562.38x = 9,844.55 × 2,345.31
  4. Step 4: Simplify right side
    6,562.38x = 23,088,521.56
  5. Step 5: Solve for x
    x = 23,088,521.56/6,562.38
  6. Step 6: Final answer
    x = 3,518.32

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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.