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Finding the Fourth Proportional to 9,683.50, 13,364.19 and 5,909.19

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Solution

The fourth proportional to 9,683.50, 13,364.19 and 5,909.19 is: 8,155.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.50 : 13,364.19 = 5,909.19 : x
  2. Step 2: Convert to fraction form
    9,683.50/13,364.19 = 5,909.19/x
  3. Step 3: Cross multiply
    9,683.50x = 13,364.19 × 5,909.19
  4. Step 4: Simplify right side
    9,683.50x = 78,971,594.58
  5. Step 5: Solve for x
    x = 78,971,594.58/9,683.50
  6. Step 6: Final answer
    x = 8,155.28

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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.