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Finding the Fourth Proportional to 4,597.25, 6,850.22 and 4,374.10

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Solution

The fourth proportional to 4,597.25, 6,850.22 and 4,374.10 is: 6,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.25 : 6,850.22 = 4,374.10 : x
  2. Step 2: Convert to fraction form
    4,597.25/6,850.22 = 4,374.10/x
  3. Step 3: Cross multiply
    4,597.25x = 6,850.22 × 4,374.10
  4. Step 4: Simplify right side
    4,597.25x = 29,963,541.11
  5. Step 5: Solve for x
    x = 29,963,541.11/4,597.25
  6. Step 6: Final answer
    x = 6,517.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.