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Finding the Fourth Proportional to 7,702.14, 10,625.82 and 5,690.34

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Solution

The fourth proportional to 7,702.14, 10,625.82 and 5,690.34 is: 7,850.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.14 : 10,625.82 = 5,690.34 : x
  2. Step 2: Convert to fraction form
    7,702.14/10,625.82 = 5,690.34/x
  3. Step 3: Cross multiply
    7,702.14x = 10,625.82 × 5,690.34
  4. Step 4: Simplify right side
    7,702.14x = 60,464,528.58
  5. Step 5: Solve for x
    x = 60,464,528.58/7,702.14
  6. Step 6: Final answer
    x = 7,850.35

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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.