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Finding the Fourth Proportional to 9,340.50, 14,011.56 and 2,415

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Solution

The fourth proportional to 9,340.50, 14,011.56 and 2,415 is: 3,622.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340.50 : 14,011.56 = 2,415 : x
  2. Step 2: Convert to fraction form
    9,340.50/14,011.56 = 2,415/x
  3. Step 3: Cross multiply
    9,340.50x = 14,011.56 × 2,415
  4. Step 4: Simplify right side
    9,340.50x = 33,837,917.40
  5. Step 5: Solve for x
    x = 33,837,917.40/9,340.50
  6. Step 6: Final answer
    x = 3,622.71

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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.