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Finding the Fourth Proportional to 8,642.36, 11,926.14 and 5,283.92

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Solution

The fourth proportional to 8,642.36, 11,926.14 and 5,283.92 is: 7,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642.36 : 11,926.14 = 5,283.92 : x
  2. Step 2: Convert to fraction form
    8,642.36/11,926.14 = 5,283.92/x
  3. Step 3: Cross multiply
    8,642.36x = 11,926.14 × 5,283.92
  4. Step 4: Simplify right side
    8,642.36x = 63,016,769.67
  5. Step 5: Solve for x
    x = 63,016,769.67/8,642.36
  6. Step 6: Final answer
    x = 7,291.62

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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.