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Finding the Fourth Proportional to 9,652.96, 13,321.16 and 5,674.24

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Solution

The fourth proportional to 9,652.96, 13,321.16 and 5,674.24 is: 7,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.96 : 13,321.16 = 5,674.24 : x
  2. Step 2: Convert to fraction form
    9,652.96/13,321.16 = 5,674.24/x
  3. Step 3: Cross multiply
    9,652.96x = 13,321.16 × 5,674.24
  4. Step 4: Simplify right side
    9,652.96x = 75,587,458.92
  5. Step 5: Solve for x
    x = 75,587,458.92/9,652.96
  6. Step 6: Final answer
    x = 7,830.50

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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.