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Finding the Fourth Proportional to 6,437.96, 9,661.27 and 2,277.95

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Solution

The fourth proportional to 6,437.96, 9,661.27 and 2,277.95 is: 3,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.96 : 9,661.27 = 2,277.95 : x
  2. Step 2: Convert to fraction form
    6,437.96/9,661.27 = 2,277.95/x
  3. Step 3: Cross multiply
    6,437.96x = 9,661.27 × 2,277.95
  4. Step 4: Simplify right side
    6,437.96x = 22,007,878.61
  5. Step 5: Solve for x
    x = 22,007,878.61/6,437.96
  6. Step 6: Final answer
    x = 3,418.46

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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.