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Finding the Fourth Proportional to 11,731.54, 16,189.08 and 7,013.02

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Solution

The fourth proportional to 11,731.54, 16,189.08 and 7,013.02 is: 9,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,731.54 : 16,189.08 = 7,013.02 : x
  2. Step 2: Convert to fraction form
    11,731.54/16,189.08 = 7,013.02/x
  3. Step 3: Cross multiply
    11,731.54x = 16,189.08 × 7,013.02
  4. Step 4: Simplify right side
    11,731.54x = 113,534,341.82
  5. Step 5: Solve for x
    x = 113,534,341.82/11,731.54
  6. Step 6: Final answer
    x = 9,677.70

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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.