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Finding the Fourth Proportional to 9,701, 14,551.68 and 2,775.68

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Solution

The fourth proportional to 9,701, 14,551.68 and 2,775.68 is: 4,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701 : 14,551.68 = 2,775.68 : x
  2. Step 2: Convert to fraction form
    9,701/14,551.68 = 2,775.68/x
  3. Step 3: Cross multiply
    9,701x = 14,551.68 × 2,775.68
  4. Step 4: Simplify right side
    9,701x = 40,390,807.14
  5. Step 5: Solve for x
    x = 40,390,807.14/9,701
  6. Step 6: Final answer
    x = 4,163.57

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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.