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Finding the Fourth Proportional to 6,945.88, 10,410 and 5,001.88

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Solution

The fourth proportional to 6,945.88, 10,410 and 5,001.88 is: 7,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.88 : 10,410 = 5,001.88 : x
  2. Step 2: Convert to fraction form
    6,945.88/10,410 = 5,001.88/x
  3. Step 3: Cross multiply
    6,945.88x = 10,410 × 5,001.88
  4. Step 4: Simplify right side
    6,945.88x = 52,069,570.80
  5. Step 5: Solve for x
    x = 52,069,570.80/6,945.88
  6. Step 6: Final answer
    x = 7,496.47

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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.