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Finding the Fourth Proportional to 8,571.34, 11,835.16 and 6,578.74

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Solution

The fourth proportional to 8,571.34, 11,835.16 and 6,578.74 is: 9,083.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.34 : 11,835.16 = 6,578.74 : x
  2. Step 2: Convert to fraction form
    8,571.34/11,835.16 = 6,578.74/x
  3. Step 3: Cross multiply
    8,571.34x = 11,835.16 × 6,578.74
  4. Step 4: Simplify right side
    8,571.34x = 77,860,440.50
  5. Step 5: Solve for x
    x = 77,860,440.50/8,571.34
  6. Step 6: Final answer
    x = 9,083.81

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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.