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Finding the Fourth Proportional to 6,795.60, 10,193.40 and 5,702.10

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Solution

The fourth proportional to 6,795.60, 10,193.40 and 5,702.10 is: 8,553.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,795.60 : 10,193.40 = 5,702.10 : x
  2. Step 2: Convert to fraction form
    6,795.60/10,193.40 = 5,702.10/x
  3. Step 3: Cross multiply
    6,795.60x = 10,193.40 × 5,702.10
  4. Step 4: Simplify right side
    6,795.60x = 58,123,786.14
  5. Step 5: Solve for x
    x = 58,123,786.14/6,795.60
  6. Step 6: Final answer
    x = 8,553.15

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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.