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Finding the Fourth Proportional to 7,807.96, 10,770.06 and 5,449.24

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Solution

The fourth proportional to 7,807.96, 10,770.06 and 5,449.24 is: 7,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.96 : 10,770.06 = 5,449.24 : x
  2. Step 2: Convert to fraction form
    7,807.96/10,770.06 = 5,449.24/x
  3. Step 3: Cross multiply
    7,807.96x = 10,770.06 × 5,449.24
  4. Step 4: Simplify right side
    7,807.96x = 58,688,641.75
  5. Step 5: Solve for x
    x = 58,688,641.75/7,807.96
  6. Step 6: Final answer
    x = 7,516.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.