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Finding the Fourth Proportional to 6,459.12, 9,689.04 and 1,842

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Solution

The fourth proportional to 6,459.12, 9,689.04 and 1,842 is: 2,763.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.12 : 9,689.04 = 1,842 : x
  2. Step 2: Convert to fraction form
    6,459.12/9,689.04 = 1,842/x
  3. Step 3: Cross multiply
    6,459.12x = 9,689.04 × 1,842
  4. Step 4: Simplify right side
    6,459.12x = 17,847,211.68
  5. Step 5: Solve for x
    x = 17,847,211.68/6,459.12
  6. Step 6: Final answer
    x = 2,763.10

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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.