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Finding the Fourth Proportional to 9,551.71, 14,325.10 and 2,974.51

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Solution

The fourth proportional to 9,551.71, 14,325.10 and 2,974.51 is: 4,460.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.71 : 14,325.10 = 2,974.51 : x
  2. Step 2: Convert to fraction form
    9,551.71/14,325.10 = 2,974.51/x
  3. Step 3: Cross multiply
    9,551.71x = 14,325.10 × 2,974.51
  4. Step 4: Simplify right side
    9,551.71x = 42,610,109.95
  5. Step 5: Solve for x
    x = 42,610,109.95/9,551.71
  6. Step 6: Final answer
    x = 4,460.99

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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.