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Finding the Fourth Proportional to 14,881.78, 22,311.74 and 7,096.06

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Solution

The fourth proportional to 14,881.78, 22,311.74 and 7,096.06 is: 10,638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,881.78 : 22,311.74 = 7,096.06 : x
  2. Step 2: Convert to fraction form
    14,881.78/22,311.74 = 7,096.06/x
  3. Step 3: Cross multiply
    14,881.78x = 22,311.74 × 7,096.06
  4. Step 4: Simplify right side
    14,881.78x = 158,325,445.74
  5. Step 5: Solve for x
    x = 158,325,445.74/14,881.78
  6. Step 6: Final answer
    x = 10,638.88

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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.