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Finding the Fourth Proportional to 6,498.21, 9,748.13 and 2,114.49

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Solution

The fourth proportional to 6,498.21, 9,748.13 and 2,114.49 is: 3,172.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.21 : 9,748.13 = 2,114.49 : x
  2. Step 2: Convert to fraction form
    6,498.21/9,748.13 = 2,114.49/x
  3. Step 3: Cross multiply
    6,498.21x = 9,748.13 × 2,114.49
  4. Step 4: Simplify right side
    6,498.21x = 20,612,312.83
  5. Step 5: Solve for x
    x = 20,612,312.83/6,498.21
  6. Step 6: Final answer
    x = 3,172.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.