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Finding the Fourth Proportional to 9,704.17, 14,560.94 and 4,159.09

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Solution

The fourth proportional to 9,704.17, 14,560.94 and 4,159.09 is: 6,240.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.17 : 14,560.94 = 4,159.09 : x
  2. Step 2: Convert to fraction form
    9,704.17/14,560.94 = 4,159.09/x
  3. Step 3: Cross multiply
    9,704.17x = 14,560.94 × 4,159.09
  4. Step 4: Simplify right side
    9,704.17x = 60,560,259.94
  5. Step 5: Solve for x
    x = 60,560,259.94/9,704.17
  6. Step 6: Final answer
    x = 6,240.64

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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.