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Finding the Fourth Proportional to 6,359, 9,540.16 and 2,410.28

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Solution

The fourth proportional to 6,359, 9,540.16 and 2,410.28 is: 3,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359 : 9,540.16 = 2,410.28 : x
  2. Step 2: Convert to fraction form
    6,359/9,540.16 = 2,410.28/x
  3. Step 3: Cross multiply
    6,359x = 9,540.16 × 2,410.28
  4. Step 4: Simplify right side
    6,359x = 22,994,456.84
  5. Step 5: Solve for x
    x = 22,994,456.84/6,359
  6. Step 6: Final answer
    x = 3,616.05

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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.