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Finding the Fourth Proportional to 6,272.32, 8,648.64 and 5,944

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Solution

The fourth proportional to 6,272.32, 8,648.64 and 5,944 is: 8,195.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,272.32 : 8,648.64 = 5,944 : x
  2. Step 2: Convert to fraction form
    6,272.32/8,648.64 = 5,944/x
  3. Step 3: Cross multiply
    6,272.32x = 8,648.64 × 5,944
  4. Step 4: Simplify right side
    6,272.32x = 51,407,516.16
  5. Step 5: Solve for x
    x = 51,407,516.16/6,272.32
  6. Step 6: Final answer
    x = 8,195.93

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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.