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Finding the Fourth Proportional to 9,797.94, 13,516.11 and 6,257.40

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Solution

The fourth proportional to 9,797.94, 13,516.11 and 6,257.40 is: 8,631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.94 : 13,516.11 = 6,257.40 : x
  2. Step 2: Convert to fraction form
    9,797.94/13,516.11 = 6,257.40/x
  3. Step 3: Cross multiply
    9,797.94x = 13,516.11 × 6,257.40
  4. Step 4: Simplify right side
    9,797.94x = 84,575,706.71
  5. Step 5: Solve for x
    x = 84,575,706.71/9,797.94
  6. Step 6: Final answer
    x = 8,631.99

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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.