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Finding the Fourth Proportional to 9,982.71, 14,974.07 and 4,716

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Solution

The fourth proportional to 9,982.71, 14,974.07 and 4,716 is: 7,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.71 : 14,974.07 = 4,716 : x
  2. Step 2: Convert to fraction form
    9,982.71/14,974.07 = 4,716/x
  3. Step 3: Cross multiply
    9,982.71x = 14,974.07 × 4,716
  4. Step 4: Simplify right side
    9,982.71x = 70,617,714.12
  5. Step 5: Solve for x
    x = 70,617,714.12/9,982.71
  6. Step 6: Final answer
    x = 7,074.00

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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.