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Finding the Fourth Proportional to 14,415, 21,622.50 and 3,471

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Solution

The fourth proportional to 14,415, 21,622.50 and 3,471 is: 5,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415 : 21,622.50 = 3,471 : x
  2. Step 2: Convert to fraction form
    14,415/21,622.50 = 3,471/x
  3. Step 3: Cross multiply
    14,415x = 21,622.50 × 3,471
  4. Step 4: Simplify right side
    14,415x = 75,051,697.50
  5. Step 5: Solve for x
    x = 75,051,697.50/14,415
  6. Step 6: Final answer
    x = 5,206.50

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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.