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Finding the Fourth Proportional to 6,501.88, 9,752.84 and 2,119.68

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Solution

The fourth proportional to 6,501.88, 9,752.84 and 2,119.68 is: 3,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.88 : 9,752.84 = 2,119.68 : x
  2. Step 2: Convert to fraction form
    6,501.88/9,752.84 = 2,119.68/x
  3. Step 3: Cross multiply
    6,501.88x = 9,752.84 × 2,119.68
  4. Step 4: Simplify right side
    6,501.88x = 20,672,899.89
  5. Step 5: Solve for x
    x = 20,672,899.89/6,501.88
  6. Step 6: Final answer
    x = 3,179.53

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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.