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Finding the Fourth Proportional to 6,467.90, 9,702.93 and 2,306.93

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Solution

The fourth proportional to 6,467.90, 9,702.93 and 2,306.93 is: 3,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.90 : 9,702.93 = 2,306.93 : x
  2. Step 2: Convert to fraction form
    6,467.90/9,702.93 = 2,306.93/x
  3. Step 3: Cross multiply
    6,467.90x = 9,702.93 × 2,306.93
  4. Step 4: Simplify right side
    6,467.90x = 22,383,980.30
  5. Step 5: Solve for x
    x = 22,383,980.30/6,467.90
  6. Step 6: Final answer
    x = 3,460.78

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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.