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Finding the Fourth Proportional to 6,410.42, 9,616.80 and 2,029.10

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Solution

The fourth proportional to 6,410.42, 9,616.80 and 2,029.10 is: 3,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.42 : 9,616.80 = 2,029.10 : x
  2. Step 2: Convert to fraction form
    6,410.42/9,616.80 = 2,029.10/x
  3. Step 3: Cross multiply
    6,410.42x = 9,616.80 × 2,029.10
  4. Step 4: Simplify right side
    6,410.42x = 19,513,448.88
  5. Step 5: Solve for x
    x = 19,513,448.88/6,410.42
  6. Step 6: Final answer
    x = 3,044.02

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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.