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Finding the Fourth Proportional to 7,315.92, 10,964.16 and 4,197.42

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Solution

The fourth proportional to 7,315.92, 10,964.16 and 4,197.42 is: 6,290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,315.92 : 10,964.16 = 4,197.42 : x
  2. Step 2: Convert to fraction form
    7,315.92/10,964.16 = 4,197.42/x
  3. Step 3: Cross multiply
    7,315.92x = 10,964.16 × 4,197.42
  4. Step 4: Simplify right side
    7,315.92x = 46,021,184.47
  5. Step 5: Solve for x
    x = 46,021,184.47/7,315.92
  6. Step 6: Final answer
    x = 6,290.55

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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.