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Finding the Fourth Proportional to 8,574.89, 11,848.77 and 6,691.23

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Solution

The fourth proportional to 8,574.89, 11,848.77 and 6,691.23 is: 9,245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.89 : 11,848.77 = 6,691.23 : x
  2. Step 2: Convert to fraction form
    8,574.89/11,848.77 = 6,691.23/x
  3. Step 3: Cross multiply
    8,574.89x = 11,848.77 × 6,691.23
  4. Step 4: Simplify right side
    8,574.89x = 79,282,845.29
  5. Step 5: Solve for x
    x = 79,282,845.29/8,574.89
  6. Step 6: Final answer
    x = 9,245.94

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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.