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Finding the Fourth Proportional to 6,995.90, 10,492.84 and 2,065.94

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Solution

The fourth proportional to 6,995.90, 10,492.84 and 2,065.94 is: 3,098.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.90 : 10,492.84 = 2,065.94 : x
  2. Step 2: Convert to fraction form
    6,995.90/10,492.84 = 2,065.94/x
  3. Step 3: Cross multiply
    6,995.90x = 10,492.84 × 2,065.94
  4. Step 4: Simplify right side
    6,995.90x = 21,677,567.34
  5. Step 5: Solve for x
    x = 21,677,567.34/6,995.90
  6. Step 6: Final answer
    x = 3,098.61

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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.