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Finding the Fourth Proportional to 6,274.06, 8,638.50 and 5,327.86

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Solution

The fourth proportional to 6,274.06, 8,638.50 and 5,327.86 is: 7,335.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.06 : 8,638.50 = 5,327.86 : x
  2. Step 2: Convert to fraction form
    6,274.06/8,638.50 = 5,327.86/x
  3. Step 3: Cross multiply
    6,274.06x = 8,638.50 × 5,327.86
  4. Step 4: Simplify right side
    6,274.06x = 46,024,718.61
  5. Step 5: Solve for x
    x = 46,024,718.61/6,274.06
  6. Step 6: Final answer
    x = 7,335.72

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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.