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Finding the Fourth Proportional to 7,869.06, 11,850.44 and 7,097.94

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Solution

The fourth proportional to 7,869.06, 11,850.44 and 7,097.94 is: 10,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.06 : 11,850.44 = 7,097.94 : x
  2. Step 2: Convert to fraction form
    7,869.06/11,850.44 = 7,097.94/x
  3. Step 3: Cross multiply
    7,869.06x = 11,850.44 × 7,097.94
  4. Step 4: Simplify right side
    7,869.06x = 84,113,676.60
  5. Step 5: Solve for x
    x = 84,113,676.60/7,869.06
  6. Step 6: Final answer
    x = 10,689.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.