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Finding the Fourth Proportional to 14,657.94, 20,227.92 and 7,943.74

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Solution

The fourth proportional to 14,657.94, 20,227.92 and 7,943.74 is: 10,962.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.94 : 20,227.92 = 7,943.74 : x
  2. Step 2: Convert to fraction form
    14,657.94/20,227.92 = 7,943.74/x
  3. Step 3: Cross multiply
    14,657.94x = 20,227.92 × 7,943.74
  4. Step 4: Simplify right side
    14,657.94x = 160,685,337.22
  5. Step 5: Solve for x
    x = 160,685,337.22/14,657.94
  6. Step 6: Final answer
    x = 10,962.34

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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.