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Finding the Fourth Proportional to 14,951.70, 22,384.35 and 9,119.70

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Solution

The fourth proportional to 14,951.70, 22,384.35 and 9,119.70 is: 13,653.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,951.70 : 22,384.35 = 9,119.70 : x
  2. Step 2: Convert to fraction form
    14,951.70/22,384.35 = 9,119.70/x
  3. Step 3: Cross multiply
    14,951.70x = 22,384.35 × 9,119.70
  4. Step 4: Simplify right side
    14,951.70x = 204,138,556.70
  5. Step 5: Solve for x
    x = 204,138,556.70/14,951.70
  6. Step 6: Final answer
    x = 13,653.20

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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.