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Finding the Fourth Proportional to 9,706.71, 13,393.12 and 6,175.11

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Solution

The fourth proportional to 9,706.71, 13,393.12 and 6,175.11 is: 8,520.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.71 : 13,393.12 = 6,175.11 : x
  2. Step 2: Convert to fraction form
    9,706.71/13,393.12 = 6,175.11/x
  3. Step 3: Cross multiply
    9,706.71x = 13,393.12 × 6,175.11
  4. Step 4: Simplify right side
    9,706.71x = 82,703,989.24
  5. Step 5: Solve for x
    x = 82,703,989.24/9,706.71
  6. Step 6: Final answer
    x = 8,520.29

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Half scale
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Double scale
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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.