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Finding the Fourth Proportional to 4,662.91, 6,434.91 and 2,567.03

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Solution

The fourth proportional to 4,662.91, 6,434.91 and 2,567.03 is: 3,542.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.91 : 6,434.91 = 2,567.03 : x
  2. Step 2: Convert to fraction form
    4,662.91/6,434.91 = 2,567.03/x
  3. Step 3: Cross multiply
    4,662.91x = 6,434.91 × 2,567.03
  4. Step 4: Simplify right side
    4,662.91x = 16,518,607.02
  5. Step 5: Solve for x
    x = 16,518,607.02/4,662.91
  6. Step 6: Final answer
    x = 3,542.55

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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.