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Finding the Fourth Proportional to 12,057.09, 16,636.09 and 7,277.81

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Solution

The fourth proportional to 12,057.09, 16,636.09 and 7,277.81 is: 10,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.09 : 16,636.09 = 7,277.81 : x
  2. Step 2: Convert to fraction form
    12,057.09/16,636.09 = 7,277.81/x
  3. Step 3: Cross multiply
    12,057.09x = 16,636.09 × 7,277.81
  4. Step 4: Simplify right side
    12,057.09x = 121,074,265.77
  5. Step 5: Solve for x
    x = 121,074,265.77/12,057.09
  6. Step 6: Final answer
    x = 10,041.75

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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.