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Finding the Fourth Proportional to 6,973.74, 10,437.12 and 3,806.82

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Solution

The fourth proportional to 6,973.74, 10,437.12 and 3,806.82 is: 5,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,973.74 : 10,437.12 = 3,806.82 : x
  2. Step 2: Convert to fraction form
    6,973.74/10,437.12 = 3,806.82/x
  3. Step 3: Cross multiply
    6,973.74x = 10,437.12 × 3,806.82
  4. Step 4: Simplify right side
    6,973.74x = 39,732,237.16
  5. Step 5: Solve for x
    x = 39,732,237.16/6,973.74
  6. Step 6: Final answer
    x = 5,697.41

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1.5x scale

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.