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Finding the Fourth Proportional to 6,805.25, 9,392.25 and 4,154.18

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Solution

The fourth proportional to 6,805.25, 9,392.25 and 4,154.18 is: 5,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.25 : 9,392.25 = 4,154.18 : x
  2. Step 2: Convert to fraction form
    6,805.25/9,392.25 = 4,154.18/x
  3. Step 3: Cross multiply
    6,805.25x = 9,392.25 × 4,154.18
  4. Step 4: Simplify right side
    6,805.25x = 39,017,097.11
  5. Step 5: Solve for x
    x = 39,017,097.11/6,805.25
  6. Step 6: Final answer
    x = 5,733.39

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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.