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Finding the Fourth Proportional to 9,820.64, 14,704.56 and 7,836.92

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Solution

The fourth proportional to 9,820.64, 14,704.56 and 7,836.92 is: 11,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.64 : 14,704.56 = 7,836.92 : x
  2. Step 2: Convert to fraction form
    9,820.64/14,704.56 = 7,836.92/x
  3. Step 3: Cross multiply
    9,820.64x = 14,704.56 × 7,836.92
  4. Step 4: Simplify right side
    9,820.64x = 115,238,460.36
  5. Step 5: Solve for x
    x = 115,238,460.36/9,820.64
  6. Step 6: Final answer
    x = 11,734.31

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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.