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Finding the Fourth Proportional to 4,614.84, 6,961.41 and 4,605.12

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Solution

The fourth proportional to 4,614.84, 6,961.41 and 4,605.12 is: 6,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.84 : 6,961.41 = 4,605.12 : x
  2. Step 2: Convert to fraction form
    4,614.84/6,961.41 = 4,605.12/x
  3. Step 3: Cross multiply
    4,614.84x = 6,961.41 × 4,605.12
  4. Step 4: Simplify right side
    4,614.84x = 32,058,128.42
  5. Step 5: Solve for x
    x = 32,058,128.42/4,614.84
  6. Step 6: Final answer
    x = 6,946.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.