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Finding the Fourth Proportional to 9,731, 14,586.74 and 3,799.72

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Solution

The fourth proportional to 9,731, 14,586.74 and 3,799.72 is: 5,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731 : 14,586.74 = 3,799.72 : x
  2. Step 2: Convert to fraction form
    9,731/14,586.74 = 3,799.72/x
  3. Step 3: Cross multiply
    9,731x = 14,586.74 × 3,799.72
  4. Step 4: Simplify right side
    9,731x = 55,425,527.71
  5. Step 5: Solve for x
    x = 55,425,527.71/9,731
  6. Step 6: Final answer
    x = 5,695.77

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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.