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Finding the Fourth Proportional to 25,324.53, 37,986.74 and 6,856.53

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Solution

The fourth proportional to 25,324.53, 37,986.74 and 6,856.53 is: 10,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,324.53 : 37,986.74 = 6,856.53 : x
  2. Step 2: Convert to fraction form
    25,324.53/37,986.74 = 6,856.53/x
  3. Step 3: Cross multiply
    25,324.53x = 37,986.74 × 6,856.53
  4. Step 4: Simplify right side
    25,324.53x = 260,457,188.13
  5. Step 5: Solve for x
    x = 260,457,188.13/25,324.53
  6. Step 6: Final answer
    x = 10,284.78

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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.