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Finding the Fourth Proportional to 7,773.48, 11,660.10 and 1,930.14

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Solution

The fourth proportional to 7,773.48, 11,660.10 and 1,930.14 is: 2,895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.48 : 11,660.10 = 1,930.14 : x
  2. Step 2: Convert to fraction form
    7,773.48/11,660.10 = 1,930.14/x
  3. Step 3: Cross multiply
    7,773.48x = 11,660.10 × 1,930.14
  4. Step 4: Simplify right side
    7,773.48x = 22,505,625.41
  5. Step 5: Solve for x
    x = 22,505,625.41/7,773.48
  6. Step 6: Final answer
    x = 2,895.18

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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.