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Finding the Fourth Proportional to 11,652.05, 16,085.79 and 7,895.07

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Solution

The fourth proportional to 11,652.05, 16,085.79 and 7,895.07 is: 10,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.05 : 16,085.79 = 7,895.07 : x
  2. Step 2: Convert to fraction form
    11,652.05/16,085.79 = 7,895.07/x
  3. Step 3: Cross multiply
    11,652.05x = 16,085.79 × 7,895.07
  4. Step 4: Simplify right side
    11,652.05x = 126,998,438.06
  5. Step 5: Solve for x
    x = 126,998,438.06/11,652.05
  6. Step 6: Final answer
    x = 10,899.23

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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.