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Finding the Fourth Proportional to 8,502.62, 11,733.86 and 5,146.04

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Solution

The fourth proportional to 8,502.62, 11,733.86 and 5,146.04 is: 7,101.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.62 : 11,733.86 = 5,146.04 : x
  2. Step 2: Convert to fraction form
    8,502.62/11,733.86 = 5,146.04/x
  3. Step 3: Cross multiply
    8,502.62x = 11,733.86 × 5,146.04
  4. Step 4: Simplify right side
    8,502.62x = 60,382,955.11
  5. Step 5: Solve for x
    x = 60,382,955.11/8,502.62
  6. Step 6: Final answer
    x = 7,101.69

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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.