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Finding the Fourth Proportional to 9,913.50, 14,872.68 and 2,988

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Solution

The fourth proportional to 9,913.50, 14,872.68 and 2,988 is: 4,482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.50 : 14,872.68 = 2,988 : x
  2. Step 2: Convert to fraction form
    9,913.50/14,872.68 = 2,988/x
  3. Step 3: Cross multiply
    9,913.50x = 14,872.68 × 2,988
  4. Step 4: Simplify right side
    9,913.50x = 44,439,567.84
  5. Step 5: Solve for x
    x = 44,439,567.84/9,913.50
  6. Step 6: Final answer
    x = 4,482.73

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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.