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Finding the Fourth Proportional to 11,598.68, 16,006 and 6,293.45

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Solution

The fourth proportional to 11,598.68, 16,006 and 6,293.45 is: 8,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,598.68 : 16,006 = 6,293.45 : x
  2. Step 2: Convert to fraction form
    11,598.68/16,006 = 6,293.45/x
  3. Step 3: Cross multiply
    11,598.68x = 16,006 × 6,293.45
  4. Step 4: Simplify right side
    11,598.68x = 100,732,960.70
  5. Step 5: Solve for x
    x = 100,732,960.70/11,598.68
  6. Step 6: Final answer
    x = 8,684.86

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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.