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Finding the Fourth Proportional to 6,535.34, 9,012.62 and 5,040.89

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Solution

The fourth proportional to 6,535.34, 9,012.62 and 5,040.89 is: 6,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.34 : 9,012.62 = 5,040.89 : x
  2. Step 2: Convert to fraction form
    6,535.34/9,012.62 = 5,040.89/x
  3. Step 3: Cross multiply
    6,535.34x = 9,012.62 × 5,040.89
  4. Step 4: Simplify right side
    6,535.34x = 45,431,626.03
  5. Step 5: Solve for x
    x = 45,431,626.03/6,535.34
  6. Step 6: Final answer
    x = 6,951.69

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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.