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Finding the Fourth Proportional to 6,516.56, 9,783.48 and 5,065.04

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Solution

The fourth proportional to 6,516.56, 9,783.48 and 5,065.04 is: 7,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.56 : 9,783.48 = 5,065.04 : x
  2. Step 2: Convert to fraction form
    6,516.56/9,783.48 = 5,065.04/x
  3. Step 3: Cross multiply
    6,516.56x = 9,783.48 × 5,065.04
  4. Step 4: Simplify right side
    6,516.56x = 49,553,717.54
  5. Step 5: Solve for x
    x = 49,553,717.54/6,516.56
  6. Step 6: Final answer
    x = 7,604.28

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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.