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Finding the Fourth Proportional to 9,706.11, 13,398.63 and 6,124.29

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Solution

The fourth proportional to 9,706.11, 13,398.63 and 6,124.29 is: 8,454.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.11 : 13,398.63 = 6,124.29 : x
  2. Step 2: Convert to fraction form
    9,706.11/13,398.63 = 6,124.29/x
  3. Step 3: Cross multiply
    9,706.11x = 13,398.63 × 6,124.29
  4. Step 4: Simplify right side
    9,706.11x = 82,057,095.72
  5. Step 5: Solve for x
    x = 82,057,095.72/9,706.11
  6. Step 6: Final answer
    x = 8,454.17

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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.