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Finding the Fourth Proportional to 11,585.88, 17,377.68 and 5,746.32

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Solution

The fourth proportional to 11,585.88, 17,377.68 and 5,746.32 is: 8,618.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,585.88 : 17,377.68 = 5,746.32 : x
  2. Step 2: Convert to fraction form
    11,585.88/17,377.68 = 5,746.32/x
  3. Step 3: Cross multiply
    11,585.88x = 17,377.68 × 5,746.32
  4. Step 4: Simplify right side
    11,585.88x = 99,857,710.14
  5. Step 5: Solve for x
    x = 99,857,710.14/11,585.88
  6. Step 6: Final answer
    x = 8,618.91

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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.