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Finding the Fourth Proportional to 8,071.77, 11,134.54 and 7,500.94

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Solution

The fourth proportional to 8,071.77, 11,134.54 and 7,500.94 is: 10,347.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,071.77 : 11,134.54 = 7,500.94 : x
  2. Step 2: Convert to fraction form
    8,071.77/11,134.54 = 7,500.94/x
  3. Step 3: Cross multiply
    8,071.77x = 11,134.54 × 7,500.94
  4. Step 4: Simplify right side
    8,071.77x = 83,519,516.47
  5. Step 5: Solve for x
    x = 83,519,516.47/8,071.77
  6. Step 6: Final answer
    x = 10,347.11

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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.