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Finding the Fourth Proportional to 6,946.92, 10,331.10 and 6,728.16

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Solution

The fourth proportional to 6,946.92, 10,331.10 and 6,728.16 is: 10,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.92 : 10,331.10 = 6,728.16 : x
  2. Step 2: Convert to fraction form
    6,946.92/10,331.10 = 6,728.16/x
  3. Step 3: Cross multiply
    6,946.92x = 10,331.10 × 6,728.16
  4. Step 4: Simplify right side
    6,946.92x = 69,509,293.78
  5. Step 5: Solve for x
    x = 69,509,293.78/6,946.92
  6. Step 6: Final answer
    x = 10,005.77

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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.