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Finding the Fourth Proportional to 9,706.52, 13,395.84 and 5,728.88

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Solution

The fourth proportional to 9,706.52, 13,395.84 and 5,728.88 is: 7,906.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.52 : 13,395.84 = 5,728.88 : x
  2. Step 2: Convert to fraction form
    9,706.52/13,395.84 = 5,728.88/x
  3. Step 3: Cross multiply
    9,706.52x = 13,395.84 × 5,728.88
  4. Step 4: Simplify right side
    9,706.52x = 76,743,159.86
  5. Step 5: Solve for x
    x = 76,743,159.86/9,706.52
  6. Step 6: Final answer
    x = 7,906.35

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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.