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Finding the Fourth Proportional to 8,632.66, 12,946.86 and 3,701.74

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Solution

The fourth proportional to 8,632.66, 12,946.86 and 3,701.74 is: 5,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.66 : 12,946.86 = 3,701.74 : x
  2. Step 2: Convert to fraction form
    8,632.66/12,946.86 = 3,701.74/x
  3. Step 3: Cross multiply
    8,632.66x = 12,946.86 × 3,701.74
  4. Step 4: Simplify right side
    8,632.66x = 47,925,909.54
  5. Step 5: Solve for x
    x = 47,925,909.54/8,632.66
  6. Step 6: Final answer
    x = 5,551.70

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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.