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Finding the Fourth Proportional to 10,683.96, 14,650.14 and 10,313.16

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Solution

The fourth proportional to 10,683.96, 14,650.14 and 10,313.16 is: 14,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,683.96 : 14,650.14 = 10,313.16 : x
  2. Step 2: Convert to fraction form
    10,683.96/14,650.14 = 10,313.16/x
  3. Step 3: Cross multiply
    10,683.96x = 14,650.14 × 10,313.16
  4. Step 4: Simplify right side
    10,683.96x = 151,089,237.84
  5. Step 5: Solve for x
    x = 151,089,237.84/10,683.96
  6. Step 6: Final answer
    x = 14,141.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.