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Finding the Fourth Proportional to 6,307.94, 8,641.92 and 6,071.46

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Solution

The fourth proportional to 6,307.94, 8,641.92 and 6,071.46 is: 8,317.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.94 : 8,641.92 = 6,071.46 : x
  2. Step 2: Convert to fraction form
    6,307.94/8,641.92 = 6,071.46/x
  3. Step 3: Cross multiply
    6,307.94x = 8,641.92 × 6,071.46
  4. Step 4: Simplify right side
    6,307.94x = 52,469,071.60
  5. Step 5: Solve for x
    x = 52,469,071.60/6,307.94
  6. Step 6: Final answer
    x = 8,317.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.