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Finding the Fourth Proportional to 6,873.76, 9,490.72 and 4,224.72

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Solution

The fourth proportional to 6,873.76, 9,490.72 and 4,224.72 is: 5,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.76 : 9,490.72 = 4,224.72 : x
  2. Step 2: Convert to fraction form
    6,873.76/9,490.72 = 4,224.72/x
  3. Step 3: Cross multiply
    6,873.76x = 9,490.72 × 4,224.72
  4. Step 4: Simplify right side
    6,873.76x = 40,095,634.60
  5. Step 5: Solve for x
    x = 40,095,634.60/6,873.76
  6. Step 6: Final answer
    x = 5,833.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.