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Finding the Fourth Proportional to 6,962.06, 9,591.40 and 5,695.73

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Solution

The fourth proportional to 6,962.06, 9,591.40 and 5,695.73 is: 7,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.06 : 9,591.40 = 5,695.73 : x
  2. Step 2: Convert to fraction form
    6,962.06/9,591.40 = 5,695.73/x
  3. Step 3: Cross multiply
    6,962.06x = 9,591.40 × 5,695.73
  4. Step 4: Simplify right side
    6,962.06x = 54,630,021.53
  5. Step 5: Solve for x
    x = 54,630,021.53/6,962.06
  6. Step 6: Final answer
    x = 7,846.82

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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.