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Finding the Fourth Proportional to 8,097.67, 12,127.06 and 4,627.63

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Solution

The fourth proportional to 8,097.67, 12,127.06 and 4,627.63 is: 6,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.67 : 12,127.06 = 4,627.63 : x
  2. Step 2: Convert to fraction form
    8,097.67/12,127.06 = 4,627.63/x
  3. Step 3: Cross multiply
    8,097.67x = 12,127.06 × 4,627.63
  4. Step 4: Simplify right side
    8,097.67x = 56,119,462.89
  5. Step 5: Solve for x
    x = 56,119,462.89/8,097.67
  6. Step 6: Final answer
    x = 6,930.33

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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.