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Finding the Fourth Proportional to 7,161.98, 10,699.25 and 5,702.76

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Solution

The fourth proportional to 7,161.98, 10,699.25 and 5,702.76 is: 8,519.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.98 : 10,699.25 = 5,702.76 : x
  2. Step 2: Convert to fraction form
    7,161.98/10,699.25 = 5,702.76/x
  3. Step 3: Cross multiply
    7,161.98x = 10,699.25 × 5,702.76
  4. Step 4: Simplify right side
    7,161.98x = 61,015,226.42
  5. Step 5: Solve for x
    x = 61,015,226.42/7,161.98
  6. Step 6: Final answer
    x = 8,519.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.