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Finding the Fourth Proportional to 6,307.34, 8,702.24 and 3,654.65

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Solution

The fourth proportional to 6,307.34, 8,702.24 and 3,654.65 is: 5,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.34 : 8,702.24 = 3,654.65 : x
  2. Step 2: Convert to fraction form
    6,307.34/8,702.24 = 3,654.65/x
  3. Step 3: Cross multiply
    6,307.34x = 8,702.24 × 3,654.65
  4. Step 4: Simplify right side
    6,307.34x = 31,803,644.90
  5. Step 5: Solve for x
    x = 31,803,644.90/6,307.34
  6. Step 6: Final answer
    x = 5,042.33

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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.