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Finding the Fourth Proportional to 7,873.72, 10,853.94 and 5,216.48

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Solution

The fourth proportional to 7,873.72, 10,853.94 and 5,216.48 is: 7,190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.72 : 10,853.94 = 5,216.48 : x
  2. Step 2: Convert to fraction form
    7,873.72/10,853.94 = 5,216.48/x
  3. Step 3: Cross multiply
    7,873.72x = 10,853.94 × 5,216.48
  4. Step 4: Simplify right side
    7,873.72x = 56,619,360.93
  5. Step 5: Solve for x
    x = 56,619,360.93/7,873.72
  6. Step 6: Final answer
    x = 7,190.93

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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.