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Finding the Fourth Proportional to 24,867.97, 37,304 and 10,828.46

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Solution

The fourth proportional to 24,867.97, 37,304 and 10,828.46 is: 16,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,867.97 : 37,304 = 10,828.46 : x
  2. Step 2: Convert to fraction form
    24,867.97/37,304 = 10,828.46/x
  3. Step 3: Cross multiply
    24,867.97x = 37,304 × 10,828.46
  4. Step 4: Simplify right side
    24,867.97x = 403,944,871.84
  5. Step 5: Solve for x
    x = 403,944,871.84/24,867.97
  6. Step 6: Final answer
    x = 16,243.58

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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.