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Finding the Fourth Proportional to 10,796.14, 14,898.70 and 6,259.70

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Solution

The fourth proportional to 10,796.14, 14,898.70 and 6,259.70 is: 8,638.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,796.14 : 14,898.70 = 6,259.70 : x
  2. Step 2: Convert to fraction form
    10,796.14/14,898.70 = 6,259.70/x
  3. Step 3: Cross multiply
    10,796.14x = 14,898.70 × 6,259.70
  4. Step 4: Simplify right side
    10,796.14x = 93,261,392.39
  5. Step 5: Solve for x
    x = 93,261,392.39/10,796.14
  6. Step 6: Final answer
    x = 8,638.40

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Why These Related Problems?

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