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Finding the Fourth Proportional to 8,274.78, 11,420.16 and 4,738.50

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Solution

The fourth proportional to 8,274.78, 11,420.16 and 4,738.50 is: 6,539.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.78 : 11,420.16 = 4,738.50 : x
  2. Step 2: Convert to fraction form
    8,274.78/11,420.16 = 4,738.50/x
  3. Step 3: Cross multiply
    8,274.78x = 11,420.16 × 4,738.50
  4. Step 4: Simplify right side
    8,274.78x = 54,114,428.16
  5. Step 5: Solve for x
    x = 54,114,428.16/8,274.78
  6. Step 6: Final answer
    x = 6,539.68

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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.