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Finding the Fourth Proportional to 23,729.70, 35,582.51 and 7,929.06

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Solution

The fourth proportional to 23,729.70, 35,582.51 and 7,929.06 is: 11,889.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,729.70 : 35,582.51 = 7,929.06 : x
  2. Step 2: Convert to fraction form
    23,729.70/35,582.51 = 7,929.06/x
  3. Step 3: Cross multiply
    23,729.70x = 35,582.51 × 7,929.06
  4. Step 4: Simplify right side
    23,729.70x = 282,135,856.74
  5. Step 5: Solve for x
    x = 282,135,856.74/23,729.70
  6. Step 6: Final answer
    x = 11,889.57

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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.