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Finding the Fourth Proportional to 6,937.41, 9,586.31 and 4,944.50

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Solution

The fourth proportional to 6,937.41, 9,586.31 and 4,944.50 is: 6,832.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.41 : 9,586.31 = 4,944.50 : x
  2. Step 2: Convert to fraction form
    6,937.41/9,586.31 = 4,944.50/x
  3. Step 3: Cross multiply
    6,937.41x = 9,586.31 × 4,944.50
  4. Step 4: Simplify right side
    6,937.41x = 47,399,509.04
  5. Step 5: Solve for x
    x = 47,399,509.04/6,937.41
  6. Step 6: Final answer
    x = 6,832.45

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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.