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Finding the Fourth Proportional to 6,393.98, 9,577.10 and 3,100.16

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Solution

The fourth proportional to 6,393.98, 9,577.10 and 3,100.16 is: 4,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.98 : 9,577.10 = 3,100.16 : x
  2. Step 2: Convert to fraction form
    6,393.98/9,577.10 = 3,100.16/x
  3. Step 3: Cross multiply
    6,393.98x = 9,577.10 × 3,100.16
  4. Step 4: Simplify right side
    6,393.98x = 29,690,542.34
  5. Step 5: Solve for x
    x = 29,690,542.34/6,393.98
  6. Step 6: Final answer
    x = 4,643.52

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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.