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Finding the Fourth Proportional to 4,337.70, 5,986 and 2,474.70

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Solution

The fourth proportional to 4,337.70, 5,986 and 2,474.70 is: 3,415.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,337.70 : 5,986 = 2,474.70 : x
  2. Step 2: Convert to fraction form
    4,337.70/5,986 = 2,474.70/x
  3. Step 3: Cross multiply
    4,337.70x = 5,986 × 2,474.70
  4. Step 4: Simplify right side
    4,337.70x = 14,813,554.20
  5. Step 5: Solve for x
    x = 14,813,554.20/4,337.70
  6. Step 6: Final answer
    x = 3,415.07

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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.