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Finding the Fourth Proportional to 9,609.60, 13,263.84 and 6,073.92

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Solution

The fourth proportional to 9,609.60, 13,263.84 and 6,073.92 is: 8,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.60 : 13,263.84 = 6,073.92 : x
  2. Step 2: Convert to fraction form
    9,609.60/13,263.84 = 6,073.92/x
  3. Step 3: Cross multiply
    9,609.60x = 13,263.84 × 6,073.92
  4. Step 4: Simplify right side
    9,609.60x = 80,563,503.05
  5. Step 5: Solve for x
    x = 80,563,503.05/9,609.60
  6. Step 6: Final answer
    x = 8,383.65

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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.