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Finding the Fourth Proportional to 10,986.84, 16,400.34 and 10,174.68

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Solution

The fourth proportional to 10,986.84, 16,400.34 and 10,174.68 is: 15,188.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,986.84 : 16,400.34 = 10,174.68 : x
  2. Step 2: Convert to fraction form
    10,986.84/16,400.34 = 10,174.68/x
  3. Step 3: Cross multiply
    10,986.84x = 16,400.34 × 10,174.68
  4. Step 4: Simplify right side
    10,986.84x = 166,868,211.39
  5. Step 5: Solve for x
    x = 166,868,211.39/10,986.84
  6. Step 6: Final answer
    x = 15,188.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.