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Finding the Fourth Proportional to 10,655.74, 14,698.90 and 6,669.93

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Solution

The fourth proportional to 10,655.74, 14,698.90 and 6,669.93 is: 9,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.74 : 14,698.90 = 6,669.93 : x
  2. Step 2: Convert to fraction form
    10,655.74/14,698.90 = 6,669.93/x
  3. Step 3: Cross multiply
    10,655.74x = 14,698.90 × 6,669.93
  4. Step 4: Simplify right side
    10,655.74x = 98,040,634.08
  5. Step 5: Solve for x
    x = 98,040,634.08/10,655.74
  6. Step 6: Final answer
    x = 9,200.73

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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.