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Finding the Fourth Proportional to 9,706.54, 13,394.97 and 5,929.18

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Solution

The fourth proportional to 9,706.54, 13,394.97 and 5,929.18 is: 8,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.54 : 13,394.97 = 5,929.18 : x
  2. Step 2: Convert to fraction form
    9,706.54/13,394.97 = 5,929.18/x
  3. Step 3: Cross multiply
    9,706.54x = 13,394.97 × 5,929.18
  4. Step 4: Simplify right side
    9,706.54x = 79,421,188.22
  5. Step 5: Solve for x
    x = 79,421,188.22/9,706.54
  6. Step 6: Final answer
    x = 8,182.23

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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.