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Finding the Fourth Proportional to 6,035.96, 9,012.65 and 5,407.20

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Solution

The fourth proportional to 6,035.96, 9,012.65 and 5,407.20 is: 8,073.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.96 : 9,012.65 = 5,407.20 : x
  2. Step 2: Convert to fraction form
    6,035.96/9,012.65 = 5,407.20/x
  3. Step 3: Cross multiply
    6,035.96x = 9,012.65 × 5,407.20
  4. Step 4: Simplify right side
    6,035.96x = 48,733,174.04
  5. Step 5: Solve for x
    x = 48,733,174.04/6,035.96
  6. Step 6: Final answer
    x = 8,073.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.