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Finding the Fourth Proportional to 6,677.52, 9,214.94 and 3,733.52

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Solution

The fourth proportional to 6,677.52, 9,214.94 and 3,733.52 is: 5,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.52 : 9,214.94 = 3,733.52 : x
  2. Step 2: Convert to fraction form
    6,677.52/9,214.94 = 3,733.52/x
  3. Step 3: Cross multiply
    6,677.52x = 9,214.94 × 3,733.52
  4. Step 4: Simplify right side
    6,677.52x = 34,404,162.79
  5. Step 5: Solve for x
    x = 34,404,162.79/6,677.52
  6. Step 6: Final answer
    x = 5,152.24

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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.