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Finding the Fourth Proportional to 10,519.58, 14,517.10 and 5,804.03

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Solution

The fourth proportional to 10,519.58, 14,517.10 and 5,804.03 is: 8,009.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.58 : 14,517.10 = 5,804.03 : x
  2. Step 2: Convert to fraction form
    10,519.58/14,517.10 = 5,804.03/x
  3. Step 3: Cross multiply
    10,519.58x = 14,517.10 × 5,804.03
  4. Step 4: Simplify right side
    10,519.58x = 84,257,727.46
  5. Step 5: Solve for x
    x = 84,257,727.46/10,519.58
  6. Step 6: Final answer
    x = 8,009.61

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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.