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Finding the Fourth Proportional to 6,092.42, 9,129.05 and 4,709.14

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Solution

The fourth proportional to 6,092.42, 9,129.05 and 4,709.14 is: 7,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.42 : 9,129.05 = 4,709.14 : x
  2. Step 2: Convert to fraction form
    6,092.42/9,129.05 = 4,709.14/x
  3. Step 3: Cross multiply
    6,092.42x = 9,129.05 × 4,709.14
  4. Step 4: Simplify right side
    6,092.42x = 42,989,972.30
  5. Step 5: Solve for x
    x = 42,989,972.30/6,092.42
  6. Step 6: Final answer
    x = 7,056.31

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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.