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Finding the Fourth Proportional to 9,949.68, 14,926.68 and 3,024

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Solution

The fourth proportional to 9,949.68, 14,926.68 and 3,024 is: 4,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949.68 : 14,926.68 = 3,024 : x
  2. Step 2: Convert to fraction form
    9,949.68/14,926.68 = 3,024/x
  3. Step 3: Cross multiply
    9,949.68x = 14,926.68 × 3,024
  4. Step 4: Simplify right side
    9,949.68x = 45,138,280.32
  5. Step 5: Solve for x
    x = 45,138,280.32/9,949.68
  6. Step 6: Final answer
    x = 4,536.66

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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.