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Finding the Fourth Proportional to 14,656.43, 20,225.84 and 7,942.25

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Solution

The fourth proportional to 14,656.43, 20,225.84 and 7,942.25 is: 10,960.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,656.43 : 20,225.84 = 7,942.25 : x
  2. Step 2: Convert to fraction form
    14,656.43/20,225.84 = 7,942.25/x
  3. Step 3: Cross multiply
    14,656.43x = 20,225.84 × 7,942.25
  4. Step 4: Simplify right side
    14,656.43x = 160,638,596.47
  5. Step 5: Solve for x
    x = 160,638,596.47/14,656.43
  6. Step 6: Final answer
    x = 10,960.28

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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.