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Finding the Fourth Proportional to 6,237, 9,348.21 and 3,462.35

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Solution

The fourth proportional to 6,237, 9,348.21 and 3,462.35 is: 5,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237 : 9,348.21 = 3,462.35 : x
  2. Step 2: Convert to fraction form
    6,237/9,348.21 = 3,462.35/x
  3. Step 3: Cross multiply
    6,237x = 9,348.21 × 3,462.35
  4. Step 4: Simplify right side
    6,237x = 32,366,728.15
  5. Step 5: Solve for x
    x = 32,366,728.15/6,237
  6. Step 6: Final answer
    x = 5,189.47

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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.