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Finding the Fourth Proportional to 10,550.06, 14,560.47 and 6,074

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Solution

The fourth proportional to 10,550.06, 14,560.47 and 6,074 is: 8,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,550.06 : 14,560.47 = 6,074 : x
  2. Step 2: Convert to fraction form
    10,550.06/14,560.47 = 6,074/x
  3. Step 3: Cross multiply
    10,550.06x = 14,560.47 × 6,074
  4. Step 4: Simplify right side
    10,550.06x = 88,440,264.41
  5. Step 5: Solve for x
    x = 88,440,264.41/10,550.06
  6. Step 6: Final answer
    x = 8,382.92

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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.