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Finding the Fourth Proportional to 7,321.06, 10,102.33 and 4,964.10

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Solution

The fourth proportional to 7,321.06, 10,102.33 and 4,964.10 is: 6,849.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.06 : 10,102.33 = 4,964.10 : x
  2. Step 2: Convert to fraction form
    7,321.06/10,102.33 = 4,964.10/x
  3. Step 3: Cross multiply
    7,321.06x = 10,102.33 × 4,964.10
  4. Step 4: Simplify right side
    7,321.06x = 50,148,976.35
  5. Step 5: Solve for x
    x = 50,148,976.35/7,321.06
  6. Step 6: Final answer
    x = 6,849.96

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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.