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Finding the Fourth Proportional to 4,649.96, 6,975.45 and 1,529.07

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Solution

The fourth proportional to 4,649.96, 6,975.45 and 1,529.07 is: 2,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.96 : 6,975.45 = 1,529.07 : x
  2. Step 2: Convert to fraction form
    4,649.96/6,975.45 = 1,529.07/x
  3. Step 3: Cross multiply
    4,649.96x = 6,975.45 × 1,529.07
  4. Step 4: Simplify right side
    4,649.96x = 10,665,951.33
  5. Step 5: Solve for x
    x = 10,665,951.33/4,649.96
  6. Step 6: Final answer
    x = 2,293.78

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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.