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Finding the Fourth Proportional to 7,794.68, 11,692.80 and 2,248.16

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Solution

The fourth proportional to 7,794.68, 11,692.80 and 2,248.16 is: 3,372.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.68 : 11,692.80 = 2,248.16 : x
  2. Step 2: Convert to fraction form
    7,794.68/11,692.80 = 2,248.16/x
  3. Step 3: Cross multiply
    7,794.68x = 11,692.80 × 2,248.16
  4. Step 4: Simplify right side
    7,794.68x = 26,287,285.25
  5. Step 5: Solve for x
    x = 26,287,285.25/7,794.68
  6. Step 6: Final answer
    x = 3,372.46

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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.