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Finding the Fourth Proportional to 11,577.96, 15,967.62 and 9,339

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Solution

The fourth proportional to 11,577.96, 15,967.62 and 9,339 is: 12,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,577.96 : 15,967.62 = 9,339 : x
  2. Step 2: Convert to fraction form
    11,577.96/15,967.62 = 9,339/x
  3. Step 3: Cross multiply
    11,577.96x = 15,967.62 × 9,339
  4. Step 4: Simplify right side
    11,577.96x = 149,121,603.18
  5. Step 5: Solve for x
    x = 149,121,603.18/11,577.96
  6. Step 6: Final answer
    x = 12,879.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.