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Finding the Fourth Proportional to 11,598.59, 16,006.07 and 6,293.50

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Solution

The fourth proportional to 11,598.59, 16,006.07 and 6,293.50 is: 8,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.59 : 16,006.07 = 6,293.50 : x
  2. Step 2: Convert to fraction form
    11,598.59/16,006.07 = 6,293.50/x
  3. Step 3: Cross multiply
    11,598.59x = 16,006.07 × 6,293.50
  4. Step 4: Simplify right side
    11,598.59x = 100,734,177.26
  5. Step 5: Solve for x
    x = 100,734,177.26/11,598.59
  6. Step 6: Final answer
    x = 8,685.03

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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.