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Finding the Fourth Proportional to 4,682.91, 6,464.09 and 4,017.09

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Solution

The fourth proportional to 4,682.91, 6,464.09 and 4,017.09 is: 5,545.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,682.91 : 6,464.09 = 4,017.09 : x
  2. Step 2: Convert to fraction form
    4,682.91/6,464.09 = 4,017.09/x
  3. Step 3: Cross multiply
    4,682.91x = 6,464.09 × 4,017.09
  4. Step 4: Simplify right side
    4,682.91x = 25,966,841.34
  5. Step 5: Solve for x
    x = 25,966,841.34/4,682.91
  6. Step 6: Final answer
    x = 5,545.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.