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Finding the Fourth Proportional to 8,294.76, 12,447.54 and 7,627.32

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Solution

The fourth proportional to 8,294.76, 12,447.54 and 7,627.32 is: 11,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.76 : 12,447.54 = 7,627.32 : x
  2. Step 2: Convert to fraction form
    8,294.76/12,447.54 = 7,627.32/x
  3. Step 3: Cross multiply
    8,294.76x = 12,447.54 × 7,627.32
  4. Step 4: Simplify right side
    8,294.76x = 94,941,370.79
  5. Step 5: Solve for x
    x = 94,941,370.79/8,294.76
  6. Step 6: Final answer
    x = 11,445.95

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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.