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Finding the Fourth Proportional to 5,642.78, 8,466.06 and 1,947.56

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Solution

The fourth proportional to 5,642.78, 8,466.06 and 1,947.56 is: 2,921.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.78 : 8,466.06 = 1,947.56 : x
  2. Step 2: Convert to fraction form
    5,642.78/8,466.06 = 1,947.56/x
  3. Step 3: Cross multiply
    5,642.78x = 8,466.06 × 1,947.56
  4. Step 4: Simplify right side
    5,642.78x = 16,488,159.81
  5. Step 5: Solve for x
    x = 16,488,159.81/5,642.78
  6. Step 6: Final answer
    x = 2,921.99

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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.