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Finding the Fourth Proportional to 9,256.53, 13,868.62 and 7,706.49

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Solution

The fourth proportional to 9,256.53, 13,868.62 and 7,706.49 is: 11,546.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.53 : 13,868.62 = 7,706.49 : x
  2. Step 2: Convert to fraction form
    9,256.53/13,868.62 = 7,706.49/x
  3. Step 3: Cross multiply
    9,256.53x = 13,868.62 × 7,706.49
  4. Step 4: Simplify right side
    9,256.53x = 106,878,388.08
  5. Step 5: Solve for x
    x = 106,878,388.08/9,256.53
  6. Step 6: Final answer
    x = 11,546.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.