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Finding the Fourth Proportional to 8,665.94, 13,002.16 and 6,492.98

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Solution

The fourth proportional to 8,665.94, 13,002.16 and 6,492.98 is: 9,741.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,665.94 : 13,002.16 = 6,492.98 : x
  2. Step 2: Convert to fraction form
    8,665.94/13,002.16 = 6,492.98/x
  3. Step 3: Cross multiply
    8,665.94x = 13,002.16 × 6,492.98
  4. Step 4: Simplify right side
    8,665.94x = 84,422,764.84
  5. Step 5: Solve for x
    x = 84,422,764.84/8,665.94
  6. Step 6: Final answer
    x = 9,741.91

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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.