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Finding the Fourth Proportional to 9,992.62, 14,984.56 and 5,311.50

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Solution

The fourth proportional to 9,992.62, 14,984.56 and 5,311.50 is: 7,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.62 : 14,984.56 = 5,311.50 : x
  2. Step 2: Convert to fraction form
    9,992.62/14,984.56 = 5,311.50/x
  3. Step 3: Cross multiply
    9,992.62x = 14,984.56 × 5,311.50
  4. Step 4: Simplify right side
    9,992.62x = 79,590,490.44
  5. Step 5: Solve for x
    x = 79,590,490.44/9,992.62
  6. Step 6: Final answer
    x = 7,964.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.