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Finding the Fourth Proportional to 6,497.01, 9,745.52 and 5,117.72

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Solution

The fourth proportional to 6,497.01, 9,745.52 and 5,117.72 is: 7,676.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.01 : 9,745.52 = 5,117.72 : x
  2. Step 2: Convert to fraction form
    6,497.01/9,745.52 = 5,117.72/x
  3. Step 3: Cross multiply
    6,497.01x = 9,745.52 × 5,117.72
  4. Step 4: Simplify right side
    6,497.01x = 49,874,768.30
  5. Step 5: Solve for x
    x = 49,874,768.30/6,497.01
  6. Step 6: Final answer
    x = 7,676.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.