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Finding the Fourth Proportional to 11,751.56, 16,217.66 and 7,034.93

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Solution

The fourth proportional to 11,751.56, 16,217.66 and 7,034.93 is: 9,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.56 : 16,217.66 = 7,034.93 : x
  2. Step 2: Convert to fraction form
    11,751.56/16,217.66 = 7,034.93/x
  3. Step 3: Cross multiply
    11,751.56x = 16,217.66 × 7,034.93
  4. Step 4: Simplify right side
    11,751.56x = 114,090,102.86
  5. Step 5: Solve for x
    x = 114,090,102.86/11,751.56
  6. Step 6: Final answer
    x = 9,708.51

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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.