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Finding the Fourth Proportional to 8,465.55, 11,682.74 and 5,627.98

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Solution

The fourth proportional to 8,465.55, 11,682.74 and 5,627.98 is: 7,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.55 : 11,682.74 = 5,627.98 : x
  2. Step 2: Convert to fraction form
    8,465.55/11,682.74 = 5,627.98/x
  3. Step 3: Cross multiply
    8,465.55x = 11,682.74 × 5,627.98
  4. Step 4: Simplify right side
    8,465.55x = 65,750,227.07
  5. Step 5: Solve for x
    x = 65,750,227.07/8,465.55
  6. Step 6: Final answer
    x = 7,766.80

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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.