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Finding the Fourth Proportional to 6,856.92, 10,287.54 and 2,243.16

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Solution

The fourth proportional to 6,856.92, 10,287.54 and 2,243.16 is: 3,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.92 : 10,287.54 = 2,243.16 : x
  2. Step 2: Convert to fraction form
    6,856.92/10,287.54 = 2,243.16/x
  3. Step 3: Cross multiply
    6,856.92x = 10,287.54 × 2,243.16
  4. Step 4: Simplify right side
    6,856.92x = 23,076,598.23
  5. Step 5: Solve for x
    x = 23,076,598.23/6,856.92
  6. Step 6: Final answer
    x = 3,365.45

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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.