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Finding the Fourth Proportional to 6,925.74, 9,567.63 and 5,992.62

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Solution

The fourth proportional to 6,925.74, 9,567.63 and 5,992.62 is: 8,278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925.74 : 9,567.63 = 5,992.62 : x
  2. Step 2: Convert to fraction form
    6,925.74/9,567.63 = 5,992.62/x
  3. Step 3: Cross multiply
    6,925.74x = 9,567.63 × 5,992.62
  4. Step 4: Simplify right side
    6,925.74x = 57,335,170.89
  5. Step 5: Solve for x
    x = 57,335,170.89/6,925.74
  6. Step 6: Final answer
    x = 8,278.56

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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.