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Finding the Fourth Proportional to 7,772.25, 10,725.72 and 4,235.49

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Solution

The fourth proportional to 7,772.25, 10,725.72 and 4,235.49 is: 5,844.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.25 : 10,725.72 = 4,235.49 : x
  2. Step 2: Convert to fraction form
    7,772.25/10,725.72 = 4,235.49/x
  3. Step 3: Cross multiply
    7,772.25x = 10,725.72 × 4,235.49
  4. Step 4: Simplify right side
    7,772.25x = 45,428,663.92
  5. Step 5: Solve for x
    x = 45,428,663.92/7,772.25
  6. Step 6: Final answer
    x = 5,844.98

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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.