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Finding the Fourth Proportional to 9,773.78, 14,661.12 and 3,110.95

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Solution

The fourth proportional to 9,773.78, 14,661.12 and 3,110.95 is: 4,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.78 : 14,661.12 = 3,110.95 : x
  2. Step 2: Convert to fraction form
    9,773.78/14,661.12 = 3,110.95/x
  3. Step 3: Cross multiply
    9,773.78x = 14,661.12 × 3,110.95
  4. Step 4: Simplify right side
    9,773.78x = 45,609,937.96
  5. Step 5: Solve for x
    x = 45,609,937.96/9,773.78
  6. Step 6: Final answer
    x = 4,666.56

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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.