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Finding the Fourth Proportional to 6,626, 9,143.54 and 3,972.90

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Solution

The fourth proportional to 6,626, 9,143.54 and 3,972.90 is: 5,482.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626 : 9,143.54 = 3,972.90 : x
  2. Step 2: Convert to fraction form
    6,626/9,143.54 = 3,972.90/x
  3. Step 3: Cross multiply
    6,626x = 9,143.54 × 3,972.90
  4. Step 4: Simplify right side
    6,626x = 36,326,370.07
  5. Step 5: Solve for x
    x = 36,326,370.07/6,626
  6. Step 6: Final answer
    x = 5,482.40

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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.