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Finding the Fourth Proportional to 6,688.50, 10,032.78 and 2,071.50

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Solution

The fourth proportional to 6,688.50, 10,032.78 and 2,071.50 is: 3,107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.50 : 10,032.78 = 2,071.50 : x
  2. Step 2: Convert to fraction form
    6,688.50/10,032.78 = 2,071.50/x
  3. Step 3: Cross multiply
    6,688.50x = 10,032.78 × 2,071.50
  4. Step 4: Simplify right side
    6,688.50x = 20,782,903.77
  5. Step 5: Solve for x
    x = 20,782,903.77/6,688.50
  6. Step 6: Final answer
    x = 3,107.26

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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.