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Finding the Fourth Proportional to 7,702.14, 10,629.04 and 4,165.42

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Solution

The fourth proportional to 7,702.14, 10,629.04 and 4,165.42 is: 5,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.14 : 10,629.04 = 4,165.42 : x
  2. Step 2: Convert to fraction form
    7,702.14/10,629.04 = 4,165.42/x
  3. Step 3: Cross multiply
    7,702.14x = 10,629.04 × 4,165.42
  4. Step 4: Simplify right side
    7,702.14x = 44,274,415.80
  5. Step 5: Solve for x
    x = 44,274,415.80/7,702.14
  6. Step 6: Final answer
    x = 5,748.33

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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.