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Finding the Fourth Proportional to 6,492.16, 9,739.65 and 2,110.06

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Solution

The fourth proportional to 6,492.16, 9,739.65 and 2,110.06 is: 3,165.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.16 : 9,739.65 = 2,110.06 : x
  2. Step 2: Convert to fraction form
    6,492.16/9,739.65 = 2,110.06/x
  3. Step 3: Cross multiply
    6,492.16x = 9,739.65 × 2,110.06
  4. Step 4: Simplify right side
    6,492.16x = 20,551,245.88
  5. Step 5: Solve for x
    x = 20,551,245.88/6,492.16
  6. Step 6: Final answer
    x = 3,165.55

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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.