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Finding the Fourth Proportional to 6,952.16, 9,594.90 and 3,967.31

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Solution

The fourth proportional to 6,952.16, 9,594.90 and 3,967.31 is: 5,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.16 : 9,594.90 = 3,967.31 : x
  2. Step 2: Convert to fraction form
    6,952.16/9,594.90 = 3,967.31/x
  3. Step 3: Cross multiply
    6,952.16x = 9,594.90 × 3,967.31
  4. Step 4: Simplify right side
    6,952.16x = 38,065,942.72
  5. Step 5: Solve for x
    x = 38,065,942.72/6,952.16
  6. Step 6: Final answer
    x = 5,475.41

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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.