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Finding the Fourth Proportional to 14,865.78, 22,270.16 and 7,461.56

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Solution

The fourth proportional to 14,865.78, 22,270.16 and 7,461.56 is: 11,178.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,865.78 : 22,270.16 = 7,461.56 : x
  2. Step 2: Convert to fraction form
    14,865.78/22,270.16 = 7,461.56/x
  3. Step 3: Cross multiply
    14,865.78x = 22,270.16 × 7,461.56
  4. Step 4: Simplify right side
    14,865.78x = 166,170,135.05
  5. Step 5: Solve for x
    x = 166,170,135.05/14,865.78
  6. Step 6: Final answer
    x = 11,178.03

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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.