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Finding the Fourth Proportional to 10,726.63, 14,805.99 and 6,950.00

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Solution

The fourth proportional to 10,726.63, 14,805.99 and 6,950.00 is: 9,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,726.63 : 14,805.99 = 6,950.00 : x
  2. Step 2: Convert to fraction form
    10,726.63/14,805.99 = 6,950.00/x
  3. Step 3: Cross multiply
    10,726.63x = 14,805.99 × 6,950.00
  4. Step 4: Simplify right side
    10,726.63x = 102,901,667.51
  5. Step 5: Solve for x
    x = 102,901,667.51/10,726.63
  6. Step 6: Final answer
    x = 9,593.11

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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.