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Finding the Fourth Proportional to 10,550.03, 14,559.14 and 5,834.48

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Solution

The fourth proportional to 10,550.03, 14,559.14 and 5,834.48 is: 8,051.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.03 : 14,559.14 = 5,834.48 : x
  2. Step 2: Convert to fraction form
    10,550.03/14,559.14 = 5,834.48/x
  3. Step 3: Cross multiply
    10,550.03x = 14,559.14 × 5,834.48
  4. Step 4: Simplify right side
    10,550.03x = 84,944,952.94
  5. Step 5: Solve for x
    x = 84,944,952.94/10,550.03
  6. Step 6: Final answer
    x = 8,051.64

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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.