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Finding the Fourth Proportional to 6,193.90, 8,541.18 and 4,307.60

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Solution

The fourth proportional to 6,193.90, 8,541.18 and 4,307.60 is: 5,940.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.90 : 8,541.18 = 4,307.60 : x
  2. Step 2: Convert to fraction form
    6,193.90/8,541.18 = 4,307.60/x
  3. Step 3: Cross multiply
    6,193.90x = 8,541.18 × 4,307.60
  4. Step 4: Simplify right side
    6,193.90x = 36,791,986.97
  5. Step 5: Solve for x
    x = 36,791,986.97/6,193.90
  6. Step 6: Final answer
    x = 5,940.04

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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.