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Finding the Fourth Proportional to 6,697,977.71, 10,034,289.45 and 3,957,329.14

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Solution

The fourth proportional to 6,697,977.71, 10,034,289.45 and 3,957,329.14 is: 5,928,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697,977.71 : 10,034,289.45 = 3,957,329.14 : x
  2. Step 2: Convert to fraction form
    6,697,977.71/10,034,289.45 = 3,957,329.14/x
  3. Step 3: Cross multiply
    6,697,977.71x = 10,034,289.45 × 3,957,329.14
  4. Step 4: Simplify right side
    6,697,977.71x = 39,708,986,039,679.57
  5. Step 5: Solve for x
    x = 39,708,986,039,679.57/6,697,977.71
  6. Step 6: Final answer
    x = 5,928,503.76

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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.