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Finding the Fourth Proportional to 6,673.70, 9,208.77 and 3,688.74

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Solution

The fourth proportional to 6,673.70, 9,208.77 and 3,688.74 is: 5,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.70 : 9,208.77 = 3,688.74 : x
  2. Step 2: Convert to fraction form
    6,673.70/9,208.77 = 3,688.74/x
  3. Step 3: Cross multiply
    6,673.70x = 9,208.77 × 3,688.74
  4. Step 4: Simplify right side
    6,673.70x = 33,968,758.25
  5. Step 5: Solve for x
    x = 33,968,758.25/6,673.70
  6. Step 6: Final answer
    x = 5,089.95

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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.