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Finding the Fourth Proportional to 14,647.19, 20,213 and 7,932.65

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Solution

The fourth proportional to 14,647.19, 20,213 and 7,932.65 is: 10,946.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.19 : 20,213 = 7,932.65 : x
  2. Step 2: Convert to fraction form
    14,647.19/20,213 = 7,932.65/x
  3. Step 3: Cross multiply
    14,647.19x = 20,213 × 7,932.65
  4. Step 4: Simplify right side
    14,647.19x = 160,342,654.45
  5. Step 5: Solve for x
    x = 160,342,654.45/14,647.19
  6. Step 6: Final answer
    x = 10,946.99

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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.