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Finding the Fourth Proportional to 14,891.84, 22,337.76 and 7,076.96

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Solution

The fourth proportional to 14,891.84, 22,337.76 and 7,076.96 is: 10,615.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,891.84 : 22,337.76 = 7,076.96 : x
  2. Step 2: Convert to fraction form
    14,891.84/22,337.76 = 7,076.96/x
  3. Step 3: Cross multiply
    14,891.84x = 22,337.76 × 7,076.96
  4. Step 4: Simplify right side
    14,891.84x = 158,083,434.01
  5. Step 5: Solve for x
    x = 158,083,434.01/14,891.84
  6. Step 6: Final answer
    x = 10,615.44

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1.5x scale

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.