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Finding the Fourth Proportional to 6,152.96, 8,530.11 and 5,820.46

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Solution

The fourth proportional to 6,152.96, 8,530.11 and 5,820.46 is: 8,069.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.96 : 8,530.11 = 5,820.46 : x
  2. Step 2: Convert to fraction form
    6,152.96/8,530.11 = 5,820.46/x
  3. Step 3: Cross multiply
    6,152.96x = 8,530.11 × 5,820.46
  4. Step 4: Simplify right side
    6,152.96x = 49,649,142.73
  5. Step 5: Solve for x
    x = 49,649,142.73/6,152.96
  6. Step 6: Final answer
    x = 8,069.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.