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Finding the Fourth Proportional to 7,774.68, 11,652.25 and 3,327.12

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Solution

The fourth proportional to 7,774.68, 11,652.25 and 3,327.12 is: 4,986.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.68 : 11,652.25 = 3,327.12 : x
  2. Step 2: Convert to fraction form
    7,774.68/11,652.25 = 3,327.12/x
  3. Step 3: Cross multiply
    7,774.68x = 11,652.25 × 3,327.12
  4. Step 4: Simplify right side
    7,774.68x = 38,768,434.02
  5. Step 5: Solve for x
    x = 38,768,434.02/7,774.68
  6. Step 6: Final answer
    x = 4,986.50

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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.