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Finding the Fourth Proportional to 10,792.84, 14,894.26 and 6,319.22

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Solution

The fourth proportional to 10,792.84, 14,894.26 and 6,319.22 is: 8,720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.84 : 14,894.26 = 6,319.22 : x
  2. Step 2: Convert to fraction form
    10,792.84/14,894.26 = 6,319.22/x
  3. Step 3: Cross multiply
    10,792.84x = 14,894.26 × 6,319.22
  4. Step 4: Simplify right side
    10,792.84x = 94,120,105.68
  5. Step 5: Solve for x
    x = 94,120,105.68/10,792.84
  6. Step 6: Final answer
    x = 8,720.61

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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.