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Finding the Fourth Proportional to 8,993.09, 12,419.02 and 8,502.23

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Solution

The fourth proportional to 8,993.09, 12,419.02 and 8,502.23 is: 11,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.09 : 12,419.02 = 8,502.23 : x
  2. Step 2: Convert to fraction form
    8,993.09/12,419.02 = 8,502.23/x
  3. Step 3: Cross multiply
    8,993.09x = 12,419.02 × 8,502.23
  4. Step 4: Simplify right side
    8,993.09x = 105,589,406.09
  5. Step 5: Solve for x
    x = 105,589,406.09/8,993.09
  6. Step 6: Final answer
    x = 11,741.17

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Double scale
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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.