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Finding the Fourth Proportional to 9,791.24, 14,685.24 and 3,217.48

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Solution

The fourth proportional to 9,791.24, 14,685.24 and 3,217.48 is: 4,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.24 : 14,685.24 = 3,217.48 : x
  2. Step 2: Convert to fraction form
    9,791.24/14,685.24 = 3,217.48/x
  3. Step 3: Cross multiply
    9,791.24x = 14,685.24 × 3,217.48
  4. Step 4: Simplify right side
    9,791.24x = 47,249,502.71
  5. Step 5: Solve for x
    x = 47,249,502.71/9,791.24
  6. Step 6: Final answer
    x = 4,825.69

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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.