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Finding the Fourth Proportional to 10,593.86, 14,611.02 and 9,005.75

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Solution

The fourth proportional to 10,593.86, 14,611.02 and 9,005.75 is: 12,420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.86 : 14,611.02 = 9,005.75 : x
  2. Step 2: Convert to fraction form
    10,593.86/14,611.02 = 9,005.75/x
  3. Step 3: Cross multiply
    10,593.86x = 14,611.02 × 9,005.75
  4. Step 4: Simplify right side
    10,593.86x = 131,583,141.33
  5. Step 5: Solve for x
    x = 131,583,141.33/10,593.86
  6. Step 6: Final answer
    x = 12,420.70

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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.