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Finding the Fourth Proportional to 7,683.40, 10,600.32 and 5,032.32

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Solution

The fourth proportional to 7,683.40, 10,600.32 and 5,032.32 is: 6,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.40 : 10,600.32 = 5,032.32 : x
  2. Step 2: Convert to fraction form
    7,683.40/10,600.32 = 5,032.32/x
  3. Step 3: Cross multiply
    7,683.40x = 10,600.32 × 5,032.32
  4. Step 4: Simplify right side
    7,683.40x = 53,344,202.34
  5. Step 5: Solve for x
    x = 53,344,202.34/7,683.40
  6. Step 6: Final answer
    x = 6,942.79

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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.