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Finding the Fourth Proportional to 7,101.84, 9,800.52 and 4,119.41

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Solution

The fourth proportional to 7,101.84, 9,800.52 and 4,119.41 is: 5,684.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.84 : 9,800.52 = 4,119.41 : x
  2. Step 2: Convert to fraction form
    7,101.84/9,800.52 = 4,119.41/x
  3. Step 3: Cross multiply
    7,101.84x = 9,800.52 × 4,119.41
  4. Step 4: Simplify right side
    7,101.84x = 40,372,311.09
  5. Step 5: Solve for x
    x = 40,372,311.09/7,101.84
  6. Step 6: Final answer
    x = 5,684.77

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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.