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Finding the Fourth Proportional to 6,557.98, 9,839.87 and 3,437.24

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Solution

The fourth proportional to 6,557.98, 9,839.87 and 3,437.24 is: 5,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.98 : 9,839.87 = 3,437.24 : x
  2. Step 2: Convert to fraction form
    6,557.98/9,839.87 = 3,437.24/x
  3. Step 3: Cross multiply
    6,557.98x = 9,839.87 × 3,437.24
  4. Step 4: Simplify right side
    6,557.98x = 33,821,994.76
  5. Step 5: Solve for x
    x = 33,821,994.76/6,557.98
  6. Step 6: Final answer
    x = 5,157.38

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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.