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Finding the Fourth Proportional to 10,662.51, 14,710.64 and 6,469.95

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Solution

The fourth proportional to 10,662.51, 14,710.64 and 6,469.95 is: 8,926.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.51 : 14,710.64 = 6,469.95 : x
  2. Step 2: Convert to fraction form
    10,662.51/14,710.64 = 6,469.95/x
  3. Step 3: Cross multiply
    10,662.51x = 14,710.64 × 6,469.95
  4. Step 4: Simplify right side
    10,662.51x = 95,177,072.92
  5. Step 5: Solve for x
    x = 95,177,072.92/10,662.51
  6. Step 6: Final answer
    x = 8,926.33

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1.5x scale

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.