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Finding the Fourth Proportional to 9,283.25, 13,927.07 and 3,127.25

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Solution

The fourth proportional to 9,283.25, 13,927.07 and 3,127.25 is: 4,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.25 : 13,927.07 = 3,127.25 : x
  2. Step 2: Convert to fraction form
    9,283.25/13,927.07 = 3,127.25/x
  3. Step 3: Cross multiply
    9,283.25x = 13,927.07 × 3,127.25
  4. Step 4: Simplify right side
    9,283.25x = 43,553,429.66
  5. Step 5: Solve for x
    x = 43,553,429.66/9,283.25
  6. Step 6: Final answer
    x = 4,691.61

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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.