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Finding the Fourth Proportional to 6,730.89, 10,110.78 and 6,509.46

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Solution

The fourth proportional to 6,730.89, 10,110.78 and 6,509.46 is: 9,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.89 : 10,110.78 = 6,509.46 : x
  2. Step 2: Convert to fraction form
    6,730.89/10,110.78 = 6,509.46/x
  3. Step 3: Cross multiply
    6,730.89x = 10,110.78 × 6,509.46
  4. Step 4: Simplify right side
    6,730.89x = 65,815,717.98
  5. Step 5: Solve for x
    x = 65,815,717.98/6,730.89
  6. Step 6: Final answer
    x = 9,778.16

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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.