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Finding the Fourth Proportional to 4,937.41, 6,813.57 and 3,169

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Solution

The fourth proportional to 4,937.41, 6,813.57 and 3,169 is: 4,373.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.41 : 6,813.57 = 3,169 : x
  2. Step 2: Convert to fraction form
    4,937.41/6,813.57 = 3,169/x
  3. Step 3: Cross multiply
    4,937.41x = 6,813.57 × 3,169
  4. Step 4: Simplify right side
    4,937.41x = 21,592,203.33
  5. Step 5: Solve for x
    x = 21,592,203.33/4,937.41
  6. Step 6: Final answer
    x = 4,373.18

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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.