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Finding the Fourth Proportional to 10,497.64, 15,746.20 and 4,255.98

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Solution

The fourth proportional to 10,497.64, 15,746.20 and 4,255.98 is: 6,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.64 : 15,746.20 = 4,255.98 : x
  2. Step 2: Convert to fraction form
    10,497.64/15,746.20 = 4,255.98/x
  3. Step 3: Cross multiply
    10,497.64x = 15,746.20 × 4,255.98
  4. Step 4: Simplify right side
    10,497.64x = 67,015,512.28
  5. Step 5: Solve for x
    x = 67,015,512.28/10,497.64
  6. Step 6: Final answer
    x = 6,383.86

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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.