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Finding the Fourth Proportional to 4,970.85, 6,851.94 and 4,073.27

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Solution

The fourth proportional to 4,970.85, 6,851.94 and 4,073.27 is: 5,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.85 : 6,851.94 = 4,073.27 : x
  2. Step 2: Convert to fraction form
    4,970.85/6,851.94 = 4,073.27/x
  3. Step 3: Cross multiply
    4,970.85x = 6,851.94 × 4,073.27
  4. Step 4: Simplify right side
    4,970.85x = 27,909,767.38
  5. Step 5: Solve for x
    x = 27,909,767.38/4,970.85
  6. Step 6: Final answer
    x = 5,614.69

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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.