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Finding the Fourth Proportional to 7,256.25, 10,884.50 and 3,152.25

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Solution

The fourth proportional to 7,256.25, 10,884.50 and 3,152.25 is: 4,728.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.25 : 10,884.50 = 3,152.25 : x
  2. Step 2: Convert to fraction form
    7,256.25/10,884.50 = 3,152.25/x
  3. Step 3: Cross multiply
    7,256.25x = 10,884.50 × 3,152.25
  4. Step 4: Simplify right side
    7,256.25x = 34,310,665.13
  5. Step 5: Solve for x
    x = 34,310,665.13/7,256.25
  6. Step 6: Final answer
    x = 4,728.43

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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.