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Finding the Fourth Proportional to 6,374.80, 9,551.40 and 4,182.40

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Solution

The fourth proportional to 6,374.80, 9,551.40 and 4,182.40 is: 6,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.80 : 9,551.40 = 4,182.40 : x
  2. Step 2: Convert to fraction form
    6,374.80/9,551.40 = 4,182.40/x
  3. Step 3: Cross multiply
    6,374.80x = 9,551.40 × 4,182.40
  4. Step 4: Simplify right side
    6,374.80x = 39,947,775.36
  5. Step 5: Solve for x
    x = 39,947,775.36/6,374.80
  6. Step 6: Final answer
    x = 6,266.51

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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.