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Finding the Fourth Proportional to 9,544.80, 13,184.44 and 7,956.64

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Solution

The fourth proportional to 9,544.80, 13,184.44 and 7,956.64 is: 10,990.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.80 : 13,184.44 = 7,956.64 : x
  2. Step 2: Convert to fraction form
    9,544.80/13,184.44 = 7,956.64/x
  3. Step 3: Cross multiply
    9,544.80x = 13,184.44 × 7,956.64
  4. Step 4: Simplify right side
    9,544.80x = 104,903,842.68
  5. Step 5: Solve for x
    x = 104,903,842.68/9,544.80
  6. Step 6: Final answer
    x = 10,990.68

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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.