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Finding the Fourth Proportional to 7,123.14, 9,829.86 and 4,138.95

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Solution

The fourth proportional to 7,123.14, 9,829.86 and 4,138.95 is: 5,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.14 : 9,829.86 = 4,138.95 : x
  2. Step 2: Convert to fraction form
    7,123.14/9,829.86 = 4,138.95/x
  3. Step 3: Cross multiply
    7,123.14x = 9,829.86 × 4,138.95
  4. Step 4: Simplify right side
    7,123.14x = 40,685,265.09
  5. Step 5: Solve for x
    x = 40,685,265.09/7,123.14
  6. Step 6: Final answer
    x = 5,711.70

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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.