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Finding the Fourth Proportional to 6,624.54, 9,137.07 and 5,056.38

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Solution

The fourth proportional to 6,624.54, 9,137.07 and 5,056.38 is: 6,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.54 : 9,137.07 = 5,056.38 : x
  2. Step 2: Convert to fraction form
    6,624.54/9,137.07 = 5,056.38/x
  3. Step 3: Cross multiply
    6,624.54x = 9,137.07 × 5,056.38
  4. Step 4: Simplify right side
    6,624.54x = 46,200,498.01
  5. Step 5: Solve for x
    x = 46,200,498.01/6,624.54
  6. Step 6: Final answer
    x = 6,974.14

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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.