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Finding the Fourth Proportional to 6,421.74, 9,626.94 and 6,034.56

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Solution

The fourth proportional to 6,421.74, 9,626.94 and 6,034.56 is: 9,046.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.74 : 9,626.94 = 6,034.56 : x
  2. Step 2: Convert to fraction form
    6,421.74/9,626.94 = 6,034.56/x
  3. Step 3: Cross multiply
    6,421.74x = 9,626.94 × 6,034.56
  4. Step 4: Simplify right side
    6,421.74x = 58,094,347.05
  5. Step 5: Solve for x
    x = 58,094,347.05/6,421.74
  6. Step 6: Final answer
    x = 9,046.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.