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Finding the Fourth Proportional to 8,277.41, 11,422.82 and 4,551.41

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Solution

The fourth proportional to 8,277.41, 11,422.82 and 4,551.41 is: 6,280.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.41 : 11,422.82 = 4,551.41 : x
  2. Step 2: Convert to fraction form
    8,277.41/11,422.82 = 4,551.41/x
  3. Step 3: Cross multiply
    8,277.41x = 11,422.82 × 4,551.41
  4. Step 4: Simplify right side
    8,277.41x = 51,989,880.06
  5. Step 5: Solve for x
    x = 51,989,880.06/8,277.41
  6. Step 6: Final answer
    x = 6,280.94

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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.