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Finding the Fourth Proportional to 6,934.40, 9,571.52 and 4,285.60

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Solution

The fourth proportional to 6,934.40, 9,571.52 and 4,285.60 is: 5,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.40 : 9,571.52 = 4,285.60 : x
  2. Step 2: Convert to fraction form
    6,934.40/9,571.52 = 4,285.60/x
  3. Step 3: Cross multiply
    6,934.40x = 9,571.52 × 4,285.60
  4. Step 4: Simplify right side
    6,934.40x = 41,019,706.11
  5. Step 5: Solve for x
    x = 41,019,706.11/6,934.40
  6. Step 6: Final answer
    x = 5,915.39

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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.