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Finding the Fourth Proportional to 11,409.80, 17,114.70 and 5,577.80

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Solution

The fourth proportional to 11,409.80, 17,114.70 and 5,577.80 is: 8,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.80 : 17,114.70 = 5,577.80 : x
  2. Step 2: Convert to fraction form
    11,409.80/17,114.70 = 5,577.80/x
  3. Step 3: Cross multiply
    11,409.80x = 17,114.70 × 5,577.80
  4. Step 4: Simplify right side
    11,409.80x = 95,462,373.66
  5. Step 5: Solve for x
    x = 95,462,373.66/11,409.80
  6. Step 6: Final answer
    x = 8,366.70

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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.