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Finding the Fourth Proportional to 6,398.93, 9,594.44 and 2,498.75

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Solution

The fourth proportional to 6,398.93, 9,594.44 and 2,498.75 is: 3,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.93 : 9,594.44 = 2,498.75 : x
  2. Step 2: Convert to fraction form
    6,398.93/9,594.44 = 2,498.75/x
  3. Step 3: Cross multiply
    6,398.93x = 9,594.44 × 2,498.75
  4. Step 4: Simplify right side
    6,398.93x = 23,974,094.46
  5. Step 5: Solve for x
    x = 23,974,094.46/6,398.93
  6. Step 6: Final answer
    x = 3,746.58

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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.