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Finding the Fourth Proportional to 7,702.67, 10,629.68 and 4,165.88

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Solution

The fourth proportional to 7,702.67, 10,629.68 and 4,165.88 is: 5,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.67 : 10,629.68 = 4,165.88 : x
  2. Step 2: Convert to fraction form
    7,702.67/10,629.68 = 4,165.88/x
  3. Step 3: Cross multiply
    7,702.67x = 10,629.68 × 4,165.88
  4. Step 4: Simplify right side
    7,702.67x = 44,281,920.77
  5. Step 5: Solve for x
    x = 44,281,920.77/7,702.67
  6. Step 6: Final answer
    x = 5,748.90

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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.