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Finding the Fourth Proportional to 6,952.40, 10,370.02 and 6,468.56

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Solution

The fourth proportional to 6,952.40, 10,370.02 and 6,468.56 is: 9,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.40 : 10,370.02 = 6,468.56 : x
  2. Step 2: Convert to fraction form
    6,952.40/10,370.02 = 6,468.56/x
  3. Step 3: Cross multiply
    6,952.40x = 10,370.02 × 6,468.56
  4. Step 4: Simplify right side
    6,952.40x = 67,079,096.57
  5. Step 5: Solve for x
    x = 67,079,096.57/6,952.40
  6. Step 6: Final answer
    x = 9,648.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.