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Finding the Fourth Proportional to 10,498.64, 14,486.98 and 6,022.27

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Solution

The fourth proportional to 10,498.64, 14,486.98 and 6,022.27 is: 8,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.64 : 14,486.98 = 6,022.27 : x
  2. Step 2: Convert to fraction form
    10,498.64/14,486.98 = 6,022.27/x
  3. Step 3: Cross multiply
    10,498.64x = 14,486.98 × 6,022.27
  4. Step 4: Simplify right side
    10,498.64x = 87,244,543.20
  5. Step 5: Solve for x
    x = 87,244,543.20/10,498.64
  6. Step 6: Final answer
    x = 8,310.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.