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Finding the Fourth Proportional to 10,683.01, 16,015.74 and 6,938.65

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Solution

The fourth proportional to 10,683.01, 16,015.74 and 6,938.65 is: 10,402.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.01 : 16,015.74 = 6,938.65 : x
  2. Step 2: Convert to fraction form
    10,683.01/16,015.74 = 6,938.65/x
  3. Step 3: Cross multiply
    10,683.01x = 16,015.74 × 6,938.65
  4. Step 4: Simplify right side
    10,683.01x = 111,127,614.35
  5. Step 5: Solve for x
    x = 111,127,614.35/10,683.01
  6. Step 6: Final answer
    x = 10,402.28

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1.5x scale

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.