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Finding the Fourth Proportional to 8,497.66, 12,731.82 and 4,604.80

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Solution

The fourth proportional to 8,497.66, 12,731.82 and 4,604.80 is: 6,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.66 : 12,731.82 = 4,604.80 : x
  2. Step 2: Convert to fraction form
    8,497.66/12,731.82 = 4,604.80/x
  3. Step 3: Cross multiply
    8,497.66x = 12,731.82 × 4,604.80
  4. Step 4: Simplify right side
    8,497.66x = 58,627,484.74
  5. Step 5: Solve for x
    x = 58,627,484.74/8,497.66
  6. Step 6: Final answer
    x = 6,899.25

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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.