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Finding the Fourth Proportional to 10,792.76, 14,894.54 and 6,077.56

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Solution

The fourth proportional to 10,792.76, 14,894.54 and 6,077.56 is: 8,387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.76 : 14,894.54 = 6,077.56 : x
  2. Step 2: Convert to fraction form
    10,792.76/14,894.54 = 6,077.56/x
  3. Step 3: Cross multiply
    10,792.76x = 14,894.54 × 6,077.56
  4. Step 4: Simplify right side
    10,792.76x = 90,522,460.52
  5. Step 5: Solve for x
    x = 90,522,460.52/10,792.76
  6. Step 6: Final answer
    x = 8,387.33

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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.