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Finding the Fourth Proportional to 10,717.76, 14,790.48 and 6,002

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Solution

The fourth proportional to 10,717.76, 14,790.48 and 6,002 is: 8,282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717.76 : 14,790.48 = 6,002 : x
  2. Step 2: Convert to fraction form
    10,717.76/14,790.48 = 6,002/x
  3. Step 3: Cross multiply
    10,717.76x = 14,790.48 × 6,002
  4. Step 4: Simplify right side
    10,717.76x = 88,772,460.96
  5. Step 5: Solve for x
    x = 88,772,460.96/10,717.76
  6. Step 6: Final answer
    x = 8,282.74

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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.