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Finding the Fourth Proportional to 6,569.08, 9,063.69 and 4,214.41

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Solution

The fourth proportional to 6,569.08, 9,063.69 and 4,214.41 is: 5,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.08 : 9,063.69 = 4,214.41 : x
  2. Step 2: Convert to fraction form
    6,569.08/9,063.69 = 4,214.41/x
  3. Step 3: Cross multiply
    6,569.08x = 9,063.69 × 4,214.41
  4. Step 4: Simplify right side
    6,569.08x = 38,198,105.77
  5. Step 5: Solve for x
    x = 38,198,105.77/6,569.08
  6. Step 6: Final answer
    x = 5,814.83

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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.