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Finding the Fourth Proportional to 3,937.68, 5,907.15 and 1,164.63

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Solution

The fourth proportional to 3,937.68, 5,907.15 and 1,164.63 is: 1,747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.68 : 5,907.15 = 1,164.63 : x
  2. Step 2: Convert to fraction form
    3,937.68/5,907.15 = 1,164.63/x
  3. Step 3: Cross multiply
    3,937.68x = 5,907.15 × 1,164.63
  4. Step 4: Simplify right side
    3,937.68x = 6,879,644.10
  5. Step 5: Solve for x
    x = 6,879,644.10/3,937.68
  6. Step 6: Final answer
    x = 1,747.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.