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Finding the Fourth Proportional to 14,657.85, 20,227.86 and 7,943.49

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Solution

The fourth proportional to 14,657.85, 20,227.86 and 7,943.49 is: 10,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.85 : 20,227.86 = 7,943.49 : x
  2. Step 2: Convert to fraction form
    14,657.85/20,227.86 = 7,943.49/x
  3. Step 3: Cross multiply
    14,657.85x = 20,227.86 × 7,943.49
  4. Step 4: Simplify right side
    14,657.85x = 160,679,803.63
  5. Step 5: Solve for x
    x = 160,679,803.63/14,657.85
  6. Step 6: Final answer
    x = 10,962.03

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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.