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Finding the Fourth Proportional to 13,649.86, 20,475.06 and 5,858.74

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Solution

The fourth proportional to 13,649.86, 20,475.06 and 5,858.74 is: 8,788.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.86 : 20,475.06 = 5,858.74 : x
  2. Step 2: Convert to fraction form
    13,649.86/20,475.06 = 5,858.74/x
  3. Step 3: Cross multiply
    13,649.86x = 20,475.06 × 5,858.74
  4. Step 4: Simplify right side
    13,649.86x = 119,958,053.02
  5. Step 5: Solve for x
    x = 119,958,053.02/13,649.86
  6. Step 6: Final answer
    x = 8,788.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.