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Finding the Fourth Proportional to 4,903.97, 6,766.40 and 3,578.40

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Solution

The fourth proportional to 4,903.97, 6,766.40 and 3,578.40 is: 4,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.97 : 6,766.40 = 3,578.40 : x
  2. Step 2: Convert to fraction form
    4,903.97/6,766.40 = 3,578.40/x
  3. Step 3: Cross multiply
    4,903.97x = 6,766.40 × 3,578.40
  4. Step 4: Simplify right side
    4,903.97x = 24,212,894.71
  5. Step 5: Solve for x
    x = 24,212,894.71/4,903.97
  6. Step 6: Final answer
    x = 4,937.41

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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.