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Finding the Fourth Proportional to 4,294.80, 6,437.40 and 2,446.80

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Solution

The fourth proportional to 4,294.80, 6,437.40 and 2,446.80 is: 3,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.80 : 6,437.40 = 2,446.80 : x
  2. Step 2: Convert to fraction form
    4,294.80/6,437.40 = 2,446.80/x
  3. Step 3: Cross multiply
    4,294.80x = 6,437.40 × 2,446.80
  4. Step 4: Simplify right side
    4,294.80x = 15,751,030.32
  5. Step 5: Solve for x
    x = 15,751,030.32/4,294.80
  6. Step 6: Final answer
    x = 3,667.47

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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.