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Finding the Fourth Proportional to 7,772.67, 11,659.05 and 4,482.90

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Solution

The fourth proportional to 7,772.67, 11,659.05 and 4,482.90 is: 6,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.67 : 11,659.05 = 4,482.90 : x
  2. Step 2: Convert to fraction form
    7,772.67/11,659.05 = 4,482.90/x
  3. Step 3: Cross multiply
    7,772.67x = 11,659.05 × 4,482.90
  4. Step 4: Simplify right side
    7,772.67x = 52,266,355.25
  5. Step 5: Solve for x
    x = 52,266,355.25/7,772.67
  6. Step 6: Final answer
    x = 6,724.38

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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.