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Finding the Fourth Proportional to 7,781.66, 11,674.80 and 3,624.12

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Solution

The fourth proportional to 7,781.66, 11,674.80 and 3,624.12 is: 5,437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.66 : 11,674.80 = 3,624.12 : x
  2. Step 2: Convert to fraction form
    7,781.66/11,674.80 = 3,624.12/x
  3. Step 3: Cross multiply
    7,781.66x = 11,674.80 × 3,624.12
  4. Step 4: Simplify right side
    7,781.66x = 42,310,876.18
  5. Step 5: Solve for x
    x = 42,310,876.18/7,781.66
  6. Step 6: Final answer
    x = 5,437.26

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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.