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Finding the Fourth Proportional to 14,566.50, 20,101.77 and 7,942.50

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Solution

The fourth proportional to 14,566.50, 20,101.77 and 7,942.50 is: 10,960.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,566.50 : 20,101.77 = 7,942.50 : x
  2. Step 2: Convert to fraction form
    14,566.50/20,101.77 = 7,942.50/x
  3. Step 3: Cross multiply
    14,566.50x = 20,101.77 × 7,942.50
  4. Step 4: Simplify right side
    14,566.50x = 159,658,308.23
  5. Step 5: Solve for x
    x = 159,658,308.23/14,566.50
  6. Step 6: Final answer
    x = 10,960.65

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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.