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Finding the Fourth Proportional to 9,808.64, 14,704.32 and 7,614.08

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Solution

The fourth proportional to 9,808.64, 14,704.32 and 7,614.08 is: 11,414.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.64 : 14,704.32 = 7,614.08 : x
  2. Step 2: Convert to fraction form
    9,808.64/14,704.32 = 7,614.08/x
  3. Step 3: Cross multiply
    9,808.64x = 14,704.32 × 7,614.08
  4. Step 4: Simplify right side
    9,808.64x = 111,959,868.83
  5. Step 5: Solve for x
    x = 111,959,868.83/9,808.64
  6. Step 6: Final answer
    x = 11,414.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.