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Finding the Fourth Proportional to 23,384.92, 35,077.74 and 6,746.44

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Solution

The fourth proportional to 23,384.92, 35,077.74 and 6,746.44 is: 10,119.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,384.92 : 35,077.74 = 6,746.44 : x
  2. Step 2: Convert to fraction form
    23,384.92/35,077.74 = 6,746.44/x
  3. Step 3: Cross multiply
    23,384.92x = 35,077.74 × 6,746.44
  4. Step 4: Simplify right side
    23,384.92x = 236,649,868.25
  5. Step 5: Solve for x
    x = 236,649,868.25/23,384.92
  6. Step 6: Final answer
    x = 10,119.76

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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.