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Finding the Fourth Proportional to 6,722.92, 10,016.75 and 6,345.64

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Solution

The fourth proportional to 6,722.92, 10,016.75 and 6,345.64 is: 9,454.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.92 : 10,016.75 = 6,345.64 : x
  2. Step 2: Convert to fraction form
    6,722.92/10,016.75 = 6,345.64/x
  3. Step 3: Cross multiply
    6,722.92x = 10,016.75 × 6,345.64
  4. Step 4: Simplify right side
    6,722.92x = 63,562,689.47
  5. Step 5: Solve for x
    x = 63,562,689.47/6,722.92
  6. Step 6: Final answer
    x = 9,454.63

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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.