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Finding the Fourth Proportional to 9,847.68, 13,580.64 and 7,606.20

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Solution

The fourth proportional to 9,847.68, 13,580.64 and 7,606.20 is: 10,489.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.68 : 13,580.64 = 7,606.20 : x
  2. Step 2: Convert to fraction form
    9,847.68/13,580.64 = 7,606.20/x
  3. Step 3: Cross multiply
    9,847.68x = 13,580.64 × 7,606.20
  4. Step 4: Simplify right side
    9,847.68x = 103,297,063.97
  5. Step 5: Solve for x
    x = 103,297,063.97/9,847.68
  6. Step 6: Final answer
    x = 10,489.48

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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.