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Finding the Fourth Proportional to 7,757.64, 11,635.65 and 2,210.63

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Solution

The fourth proportional to 7,757.64, 11,635.65 and 2,210.63 is: 3,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.64 : 11,635.65 = 2,210.63 : x
  2. Step 2: Convert to fraction form
    7,757.64/11,635.65 = 2,210.63/x
  3. Step 3: Cross multiply
    7,757.64x = 11,635.65 × 2,210.63
  4. Step 4: Simplify right side
    7,757.64x = 25,722,058.78
  5. Step 5: Solve for x
    x = 25,722,058.78/7,757.64
  6. Step 6: Final answer
    x = 3,315.71

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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.