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Finding the Fourth Proportional to 8,167.70, 11,253.93 and 8,167.70

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Solution

The fourth proportional to 8,167.70, 11,253.93 and 8,167.70 is: 11,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.70 : 11,253.93 = 8,167.70 : x
  2. Step 2: Convert to fraction form
    8,167.70/11,253.93 = 8,167.70/x
  3. Step 3: Cross multiply
    8,167.70x = 11,253.93 × 8,167.70
  4. Step 4: Simplify right side
    8,167.70x = 91,918,724.06
  5. Step 5: Solve for x
    x = 91,918,724.06/8,167.70
  6. Step 6: Final answer
    x = 11,253.93

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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.