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Finding the Fourth Proportional to 9,167.42, 12,651.12 and 4,975.68

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Solution

The fourth proportional to 9,167.42, 12,651.12 and 4,975.68 is: 6,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.42 : 12,651.12 = 4,975.68 : x
  2. Step 2: Convert to fraction form
    9,167.42/12,651.12 = 4,975.68/x
  3. Step 3: Cross multiply
    9,167.42x = 12,651.12 × 4,975.68
  4. Step 4: Simplify right side
    9,167.42x = 62,947,924.76
  5. Step 5: Solve for x
    x = 62,947,924.76/9,167.42
  6. Step 6: Final answer
    x = 6,866.48

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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.