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Finding the Fourth Proportional to 7,571.34, 11,349.72 and 4,650.48

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Solution

The fourth proportional to 7,571.34, 11,349.72 and 4,650.48 is: 6,971.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.34 : 11,349.72 = 4,650.48 : x
  2. Step 2: Convert to fraction form
    7,571.34/11,349.72 = 4,650.48/x
  3. Step 3: Cross multiply
    7,571.34x = 11,349.72 × 4,650.48
  4. Step 4: Simplify right side
    7,571.34x = 52,781,645.87
  5. Step 5: Solve for x
    x = 52,781,645.87/7,571.34
  6. Step 6: Final answer
    x = 6,971.24

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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.