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Finding the Fourth Proportional to 10,702.10, 16,053.15 and 7,202.90

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Solution

The fourth proportional to 10,702.10, 16,053.15 and 7,202.90 is: 10,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.10 : 16,053.15 = 7,202.90 : x
  2. Step 2: Convert to fraction form
    10,702.10/16,053.15 = 7,202.90/x
  3. Step 3: Cross multiply
    10,702.10x = 16,053.15 × 7,202.90
  4. Step 4: Simplify right side
    10,702.10x = 115,629,234.14
  5. Step 5: Solve for x
    x = 115,629,234.14/10,702.10
  6. Step 6: Final answer
    x = 10,804.35

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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.