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Finding the Fourth Proportional to 10,014.92, 13,821.03 and 6,240.32

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Solution

The fourth proportional to 10,014.92, 13,821.03 and 6,240.32 is: 8,611.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.92 : 13,821.03 = 6,240.32 : x
  2. Step 2: Convert to fraction form
    10,014.92/13,821.03 = 6,240.32/x
  3. Step 3: Cross multiply
    10,014.92x = 13,821.03 × 6,240.32
  4. Step 4: Simplify right side
    10,014.92x = 86,247,649.93
  5. Step 5: Solve for x
    x = 86,247,649.93/10,014.92
  6. Step 6: Final answer
    x = 8,611.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.