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Finding the Fourth Proportional to 6,951.28, 9,595.38 and 4,596.62

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Solution

The fourth proportional to 6,951.28, 9,595.38 and 4,596.62 is: 6,345.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.28 : 9,595.38 = 4,596.62 : x
  2. Step 2: Convert to fraction form
    6,951.28/9,595.38 = 4,596.62/x
  3. Step 3: Cross multiply
    6,951.28x = 9,595.38 × 4,596.62
  4. Step 4: Simplify right side
    6,951.28x = 44,106,315.62
  5. Step 5: Solve for x
    x = 44,106,315.62/6,951.28
  6. Step 6: Final answer
    x = 6,345.06

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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.