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Finding the Fourth Proportional to 6,296.01, 9,443.98 and 1,616.01

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Solution

The fourth proportional to 6,296.01, 9,443.98 and 1,616.01 is: 2,424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.01 : 9,443.98 = 1,616.01 : x
  2. Step 2: Convert to fraction form
    6,296.01/9,443.98 = 1,616.01/x
  3. Step 3: Cross multiply
    6,296.01x = 9,443.98 × 1,616.01
  4. Step 4: Simplify right side
    6,296.01x = 15,261,566.12
  5. Step 5: Solve for x
    x = 15,261,566.12/6,296.01
  6. Step 6: Final answer
    x = 2,424.01

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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.