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Finding the Fourth Proportional to 10,648.14, 14,690.10 and 6,449.10

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Solution

The fourth proportional to 10,648.14, 14,690.10 and 6,449.10 is: 8,897.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.14 : 14,690.10 = 6,449.10 : x
  2. Step 2: Convert to fraction form
    10,648.14/14,690.10 = 6,449.10/x
  3. Step 3: Cross multiply
    10,648.14x = 14,690.10 × 6,449.10
  4. Step 4: Simplify right side
    10,648.14x = 94,737,923.91
  5. Step 5: Solve for x
    x = 94,737,923.91/10,648.14
  6. Step 6: Final answer
    x = 8,897.13

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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.