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Finding the Fourth Proportional to 6,949.34, 9,590.12 and 3,805.54

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Solution

The fourth proportional to 6,949.34, 9,590.12 and 3,805.54 is: 5,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.34 : 9,590.12 = 3,805.54 : x
  2. Step 2: Convert to fraction form
    6,949.34/9,590.12 = 3,805.54/x
  3. Step 3: Cross multiply
    6,949.34x = 9,590.12 × 3,805.54
  4. Step 4: Simplify right side
    6,949.34x = 36,495,585.26
  5. Step 5: Solve for x
    x = 36,495,585.26/6,949.34
  6. Step 6: Final answer
    x = 5,251.66

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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.