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Finding the Fourth Proportional to 14,559.50, 20,092.12 and 7,935.50

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Solution

The fourth proportional to 14,559.50, 20,092.12 and 7,935.50 is: 10,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,559.50 : 20,092.12 = 7,935.50 : x
  2. Step 2: Convert to fraction form
    14,559.50/20,092.12 = 7,935.50/x
  3. Step 3: Cross multiply
    14,559.50x = 20,092.12 × 7,935.50
  4. Step 4: Simplify right side
    14,559.50x = 159,441,018.26
  5. Step 5: Solve for x
    x = 159,441,018.26/14,559.50
  6. Step 6: Final answer
    x = 10,951.00

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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.