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Finding the Fourth Proportional to 12,706.94, 17,524.76 and 10,049.74

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Solution

The fourth proportional to 12,706.94, 17,524.76 and 10,049.74 is: 13,860.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.94 : 17,524.76 = 10,049.74 : x
  2. Step 2: Convert to fraction form
    12,706.94/17,524.76 = 10,049.74/x
  3. Step 3: Cross multiply
    12,706.94x = 17,524.76 × 10,049.74
  4. Step 4: Simplify right side
    12,706.94x = 176,119,187.50
  5. Step 5: Solve for x
    x = 176,119,187.50/12,706.94
  6. Step 6: Final answer
    x = 13,860.08

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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.