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Finding the Fourth Proportional to 6,947.88, 10,413 and 5,003.88

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Solution

The fourth proportional to 6,947.88, 10,413 and 5,003.88 is: 7,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.88 : 10,413 = 5,003.88 : x
  2. Step 2: Convert to fraction form
    6,947.88/10,413 = 5,003.88/x
  3. Step 3: Cross multiply
    6,947.88x = 10,413 × 5,003.88
  4. Step 4: Simplify right side
    6,947.88x = 52,105,402.44
  5. Step 5: Solve for x
    x = 52,105,402.44/6,947.88
  6. Step 6: Final answer
    x = 7,499.47

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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.