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Finding the Fourth Proportional to 6,267.54, 9,401.32 and 2,569.08

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Solution

The fourth proportional to 6,267.54, 9,401.32 and 2,569.08 is: 3,853.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,267.54 : 9,401.32 = 2,569.08 : x
  2. Step 2: Convert to fraction form
    6,267.54/9,401.32 = 2,569.08/x
  3. Step 3: Cross multiply
    6,267.54x = 9,401.32 × 2,569.08
  4. Step 4: Simplify right side
    6,267.54x = 24,152,743.19
  5. Step 5: Solve for x
    x = 24,152,743.19/6,267.54
  6. Step 6: Final answer
    x = 3,853.62

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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.