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Finding the Fourth Proportional to 25,243.76, 37,865.64 and 6,776.24

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Solution

The fourth proportional to 25,243.76, 37,865.64 and 6,776.24 is: 10,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,243.76 : 37,865.64 = 6,776.24 : x
  2. Step 2: Convert to fraction form
    25,243.76/37,865.64 = 6,776.24/x
  3. Step 3: Cross multiply
    25,243.76x = 37,865.64 × 6,776.24
  4. Step 4: Simplify right side
    25,243.76x = 256,586,664.39
  5. Step 5: Solve for x
    x = 256,586,664.39/25,243.76
  6. Step 6: Final answer
    x = 10,164.36

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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.