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Finding the Fourth Proportional to 4,649.42, 6,376.86 and 4,124.54

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Solution

The fourth proportional to 4,649.42, 6,376.86 and 4,124.54 is: 5,656.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.42 : 6,376.86 = 4,124.54 : x
  2. Step 2: Convert to fraction form
    4,649.42/6,376.86 = 4,124.54/x
  3. Step 3: Cross multiply
    4,649.42x = 6,376.86 × 4,124.54
  4. Step 4: Simplify right side
    4,649.42x = 26,301,614.14
  5. Step 5: Solve for x
    x = 26,301,614.14/4,649.42
  6. Step 6: Final answer
    x = 5,656.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.