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Finding the Fourth Proportional to 6,298.68, 9,445.27 and 2,400.36

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Solution

The fourth proportional to 6,298.68, 9,445.27 and 2,400.36 is: 3,599.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.68 : 9,445.27 = 2,400.36 : x
  2. Step 2: Convert to fraction form
    6,298.68/9,445.27 = 2,400.36/x
  3. Step 3: Cross multiply
    6,298.68x = 9,445.27 × 2,400.36
  4. Step 4: Simplify right side
    6,298.68x = 22,672,048.30
  5. Step 5: Solve for x
    x = 22,672,048.30/6,298.68
  6. Step 6: Final answer
    x = 3,599.49

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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.