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Finding the Fourth Proportional to 8,113.03, 12,097.94 and 7,823.94

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Solution

The fourth proportional to 8,113.03, 12,097.94 and 7,823.94 is: 11,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.03 : 12,097.94 = 7,823.94 : x
  2. Step 2: Convert to fraction form
    8,113.03/12,097.94 = 7,823.94/x
  3. Step 3: Cross multiply
    8,113.03x = 12,097.94 × 7,823.94
  4. Step 4: Simplify right side
    8,113.03x = 94,653,556.68
  5. Step 5: Solve for x
    x = 94,653,556.68/8,113.03
  6. Step 6: Final answer
    x = 11,666.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.