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Finding the Fourth Proportional to 14,757.76, 22,130.86 and 6,544

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Solution

The fourth proportional to 14,757.76, 22,130.86 and 6,544 is: 9,813.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.76 : 22,130.86 = 6,544 : x
  2. Step 2: Convert to fraction form
    14,757.76/22,130.86 = 6,544/x
  3. Step 3: Cross multiply
    14,757.76x = 22,130.86 × 6,544
  4. Step 4: Simplify right side
    14,757.76x = 144,824,347.84
  5. Step 5: Solve for x
    x = 144,824,347.84/14,757.76
  6. Step 6: Final answer
    x = 9,813.44

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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.