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Finding the Fourth Proportional to 7,112.61, 9,816.05 and 3,926.48

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Solution

The fourth proportional to 7,112.61, 9,816.05 and 3,926.48 is: 5,418.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.61 : 9,816.05 = 3,926.48 : x
  2. Step 2: Convert to fraction form
    7,112.61/9,816.05 = 3,926.48/x
  3. Step 3: Cross multiply
    7,112.61x = 9,816.05 × 3,926.48
  4. Step 4: Simplify right side
    7,112.61x = 38,542,484.74
  5. Step 5: Solve for x
    x = 38,542,484.74/7,112.61
  6. Step 6: Final answer
    x = 5,418.89

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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.