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Finding the Fourth Proportional to 25,250.63, 37,875.96 and 6,782.63

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Solution

The fourth proportional to 25,250.63, 37,875.96 and 6,782.63 is: 10,173.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,250.63 : 37,875.96 = 6,782.63 : x
  2. Step 2: Convert to fraction form
    25,250.63/37,875.96 = 6,782.63/x
  3. Step 3: Cross multiply
    25,250.63x = 37,875.96 × 6,782.63
  4. Step 4: Simplify right side
    25,250.63x = 256,898,433.20
  5. Step 5: Solve for x
    x = 256,898,433.20/25,250.63
  6. Step 6: Final answer
    x = 10,173.94

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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.