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Finding the Fourth Proportional to 15,714.41, 23,593.49 and 7,928.69

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Solution

The fourth proportional to 15,714.41, 23,593.49 and 7,928.69 is: 11,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.41 : 23,593.49 = 7,928.69 : x
  2. Step 2: Convert to fraction form
    15,714.41/23,593.49 = 7,928.69/x
  3. Step 3: Cross multiply
    15,714.41x = 23,593.49 × 7,928.69
  4. Step 4: Simplify right side
    15,714.41x = 187,065,428.58
  5. Step 5: Solve for x
    x = 187,065,428.58/15,714.41
  6. Step 6: Final answer
    x = 11,904.07

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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.