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Finding the Fourth Proportional to 9,970.52, 14,955.74 and 3,731

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Solution

The fourth proportional to 9,970.52, 14,955.74 and 3,731 is: 5,596.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,970.52 : 14,955.74 = 3,731 : x
  2. Step 2: Convert to fraction form
    9,970.52/14,955.74 = 3,731/x
  3. Step 3: Cross multiply
    9,970.52x = 14,955.74 × 3,731
  4. Step 4: Simplify right side
    9,970.52x = 55,799,865.94
  5. Step 5: Solve for x
    x = 55,799,865.94/9,970.52
  6. Step 6: Final answer
    x = 5,596.49

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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.