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Finding the Fourth Proportional to 6,193.59, 9,293.01 and 4,114.32

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Solution

The fourth proportional to 6,193.59, 9,293.01 and 4,114.32 is: 6,173.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.59 : 9,293.01 = 4,114.32 : x
  2. Step 2: Convert to fraction form
    6,193.59/9,293.01 = 4,114.32/x
  3. Step 3: Cross multiply
    6,193.59x = 9,293.01 × 4,114.32
  4. Step 4: Simplify right side
    6,193.59x = 38,234,416.90
  5. Step 5: Solve for x
    x = 38,234,416.90/6,193.59
  6. Step 6: Final answer
    x = 6,173.22

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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.