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Finding the Fourth Proportional to 11,833.54, 16,325.11 and 7,795.15

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Solution

The fourth proportional to 11,833.54, 16,325.11 and 7,795.15 is: 10,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833.54 : 16,325.11 = 7,795.15 : x
  2. Step 2: Convert to fraction form
    11,833.54/16,325.11 = 7,795.15/x
  3. Step 3: Cross multiply
    11,833.54x = 16,325.11 × 7,795.15
  4. Step 4: Simplify right side
    11,833.54x = 127,256,681.22
  5. Step 5: Solve for x
    x = 127,256,681.22/11,833.54
  6. Step 6: Final answer
    x = 10,753.90

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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.