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Finding the Fourth Proportional to 11,598.80, 16,007.63 and 6,883.38

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Solution

The fourth proportional to 11,598.80, 16,007.63 and 6,883.38 is: 9,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.80 : 16,007.63 = 6,883.38 : x
  2. Step 2: Convert to fraction form
    11,598.80/16,007.63 = 6,883.38/x
  3. Step 3: Cross multiply
    11,598.80x = 16,007.63 × 6,883.38
  4. Step 4: Simplify right side
    11,598.80x = 110,186,565.77
  5. Step 5: Solve for x
    x = 110,186,565.77/11,598.80
  6. Step 6: Final answer
    x = 9,499.83

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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.