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Finding the Fourth Proportional to 6,417.46, 9,626.46 and 2,034.82

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Solution

The fourth proportional to 6,417.46, 9,626.46 and 2,034.82 is: 3,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.46 : 9,626.46 = 2,034.82 : x
  2. Step 2: Convert to fraction form
    6,417.46/9,626.46 = 2,034.82/x
  3. Step 3: Cross multiply
    6,417.46x = 9,626.46 × 2,034.82
  4. Step 4: Simplify right side
    6,417.46x = 19,588,113.34
  5. Step 5: Solve for x
    x = 19,588,113.34/6,417.46
  6. Step 6: Final answer
    x = 3,052.32

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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.