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Finding the Fourth Proportional to 6,637.70, 9,158.37 and 4,277

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Solution

The fourth proportional to 6,637.70, 9,158.37 and 4,277 is: 5,901.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.70 : 9,158.37 = 4,277 : x
  2. Step 2: Convert to fraction form
    6,637.70/9,158.37 = 4,277/x
  3. Step 3: Cross multiply
    6,637.70x = 9,158.37 × 4,277
  4. Step 4: Simplify right side
    6,637.70x = 39,170,348.49
  5. Step 5: Solve for x
    x = 39,170,348.49/6,637.70
  6. Step 6: Final answer
    x = 5,901.19

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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.