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Finding the Fourth Proportional to 6,683.04, 10,009.98 and 3,213

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Solution

The fourth proportional to 6,683.04, 10,009.98 and 3,213 is: 4,812.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.04 : 10,009.98 = 3,213 : x
  2. Step 2: Convert to fraction form
    6,683.04/10,009.98 = 3,213/x
  3. Step 3: Cross multiply
    6,683.04x = 10,009.98 × 3,213
  4. Step 4: Simplify right side
    6,683.04x = 32,162,065.74
  5. Step 5: Solve for x
    x = 32,162,065.74/6,683.04
  6. Step 6: Final answer
    x = 4,812.49

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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.