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Finding the Fourth Proportional to 6,308.88, 9,456.44 and 2,411.60

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Solution

The fourth proportional to 6,308.88, 9,456.44 and 2,411.60 is: 3,614.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.88 : 9,456.44 = 2,411.60 : x
  2. Step 2: Convert to fraction form
    6,308.88/9,456.44 = 2,411.60/x
  3. Step 3: Cross multiply
    6,308.88x = 9,456.44 × 2,411.60
  4. Step 4: Simplify right side
    6,308.88x = 22,805,150.70
  5. Step 5: Solve for x
    x = 22,805,150.70/6,308.88
  6. Step 6: Final answer
    x = 3,614.77

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1.5x scale

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.