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Finding the Fourth Proportional to 3,296.04, 4,943.76 and 987.56

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Solution

The fourth proportional to 3,296.04, 4,943.76 and 987.56 is: 1,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.04 : 4,943.76 = 987.56 : x
  2. Step 2: Convert to fraction form
    3,296.04/4,943.76 = 987.56/x
  3. Step 3: Cross multiply
    3,296.04x = 4,943.76 × 987.56
  4. Step 4: Simplify right side
    3,296.04x = 4,882,259.63
  5. Step 5: Solve for x
    x = 4,882,259.63/3,296.04
  6. Step 6: Final answer
    x = 1,481.25

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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.