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Finding the Fourth Proportional to 12,374.01, 18,573.38 and 6,829.97

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Solution

The fourth proportional to 12,374.01, 18,573.38 and 6,829.97 is: 10,251.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.01 : 18,573.38 = 6,829.97 : x
  2. Step 2: Convert to fraction form
    12,374.01/18,573.38 = 6,829.97/x
  3. Step 3: Cross multiply
    12,374.01x = 18,573.38 × 6,829.97
  4. Step 4: Simplify right side
    12,374.01x = 126,855,547.62
  5. Step 5: Solve for x
    x = 126,855,547.62/12,374.01
  6. Step 6: Final answer
    x = 10,251.77

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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.