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Finding the Fourth Proportional to 10,477.73, 14,458.83 and 6,001.90

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Solution

The fourth proportional to 10,477.73, 14,458.83 and 6,001.90 is: 8,282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.73 : 14,458.83 = 6,001.90 : x
  2. Step 2: Convert to fraction form
    10,477.73/14,458.83 = 6,001.90/x
  3. Step 3: Cross multiply
    10,477.73x = 14,458.83 × 6,001.90
  4. Step 4: Simplify right side
    10,477.73x = 86,780,451.78
  5. Step 5: Solve for x
    x = 86,780,451.78/10,477.73
  6. Step 6: Final answer
    x = 8,282.37

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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.