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Finding the Fourth Proportional to 11,585.80, 17,380.86 and 6,042.16

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Solution

The fourth proportional to 11,585.80, 17,380.86 and 6,042.16 is: 9,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.80 : 17,380.86 = 6,042.16 : x
  2. Step 2: Convert to fraction form
    11,585.80/17,380.86 = 6,042.16/x
  3. Step 3: Cross multiply
    11,585.80x = 17,380.86 × 6,042.16
  4. Step 4: Simplify right side
    11,585.80x = 105,017,937.06
  5. Step 5: Solve for x
    x = 105,017,937.06/11,585.80
  6. Step 6: Final answer
    x = 9,064.37

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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.