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Finding the Fourth Proportional to 8,570.15, 11,824.11 and 4,792.80

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Solution

The fourth proportional to 8,570.15, 11,824.11 and 4,792.80 is: 6,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,570.15 : 11,824.11 = 4,792.80 : x
  2. Step 2: Convert to fraction form
    8,570.15/11,824.11 = 4,792.80/x
  3. Step 3: Cross multiply
    8,570.15x = 11,824.11 × 4,792.80
  4. Step 4: Simplify right side
    8,570.15x = 56,670,594.41
  5. Step 5: Solve for x
    x = 56,670,594.41/8,570.15
  6. Step 6: Final answer
    x = 6,612.56

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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.