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Finding the Fourth Proportional to 7,683.91, 10,606.78 and 6,005.87

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Solution

The fourth proportional to 7,683.91, 10,606.78 and 6,005.87 is: 8,290.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.91 : 10,606.78 = 6,005.87 : x
  2. Step 2: Convert to fraction form
    7,683.91/10,606.78 = 6,005.87/x
  3. Step 3: Cross multiply
    7,683.91x = 10,606.78 × 6,005.87
  4. Step 4: Simplify right side
    7,683.91x = 63,702,941.80
  5. Step 5: Solve for x
    x = 63,702,941.80/7,683.91
  6. Step 6: Final answer
    x = 8,290.43

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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.