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Finding the Fourth Proportional to 10,792.91, 14,896.31 and 6,077.22

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Solution

The fourth proportional to 10,792.91, 14,896.31 and 6,077.22 is: 8,387.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,792.91 : 14,896.31 = 6,077.22 : x
  2. Step 2: Convert to fraction form
    10,792.91/14,896.31 = 6,077.22/x
  3. Step 3: Cross multiply
    10,792.91x = 14,896.31 × 6,077.22
  4. Step 4: Simplify right side
    10,792.91x = 90,528,122.67
  5. Step 5: Solve for x
    x = 90,528,122.67/10,792.91
  6. Step 6: Final answer
    x = 8,387.74

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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.