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Finding the Fourth Proportional to 12,051.99, 16,632.38 and 7,574.09

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Solution

The fourth proportional to 12,051.99, 16,632.38 and 7,574.09 is: 10,452.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,051.99 : 16,632.38 = 7,574.09 : x
  2. Step 2: Convert to fraction form
    12,051.99/16,632.38 = 7,574.09/x
  3. Step 3: Cross multiply
    12,051.99x = 16,632.38 × 7,574.09
  4. Step 4: Simplify right side
    12,051.99x = 125,975,143.03
  5. Step 5: Solve for x
    x = 125,975,143.03/12,051.99
  6. Step 6: Final answer
    x = 10,452.64

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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.