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Finding the Fourth Proportional to 6,535.84, 9,803.76 and 2,154.56

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Solution

The fourth proportional to 6,535.84, 9,803.76 and 2,154.56 is: 3,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.84 : 9,803.76 = 2,154.56 : x
  2. Step 2: Convert to fraction form
    6,535.84/9,803.76 = 2,154.56/x
  3. Step 3: Cross multiply
    6,535.84x = 9,803.76 × 2,154.56
  4. Step 4: Simplify right side
    6,535.84x = 21,122,789.15
  5. Step 5: Solve for x
    x = 21,122,789.15/6,535.84
  6. Step 6: Final answer
    x = 3,231.84

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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.