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Finding the Fourth Proportional to 15,713.88, 23,587.22 and 6,954.95

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Solution

The fourth proportional to 15,713.88, 23,587.22 and 6,954.95 is: 10,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,713.88 : 23,587.22 = 6,954.95 : x
  2. Step 2: Convert to fraction form
    15,713.88/23,587.22 = 6,954.95/x
  3. Step 3: Cross multiply
    15,713.88x = 23,587.22 × 6,954.95
  4. Step 4: Simplify right side
    15,713.88x = 164,047,935.74
  5. Step 5: Solve for x
    x = 164,047,935.74/15,713.88
  6. Step 6: Final answer
    x = 10,439.68

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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.