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Finding the Fourth Proportional to 6,945.82, 9,575.24 and 4,952.90

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Solution

The fourth proportional to 6,945.82, 9,575.24 and 4,952.90 is: 6,827.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.82 : 9,575.24 = 4,952.90 : x
  2. Step 2: Convert to fraction form
    6,945.82/9,575.24 = 4,952.90/x
  3. Step 3: Cross multiply
    6,945.82x = 9,575.24 × 4,952.90
  4. Step 4: Simplify right side
    6,945.82x = 47,425,206.20
  5. Step 5: Solve for x
    x = 47,425,206.20/6,945.82
  6. Step 6: Final answer
    x = 6,827.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.