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Finding the Fourth Proportional to 7,850.76, 11,828.52 and 7,101.14

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Solution

The fourth proportional to 7,850.76, 11,828.52 and 7,101.14 is: 10,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.76 : 11,828.52 = 7,101.14 : x
  2. Step 2: Convert to fraction form
    7,850.76/11,828.52 = 7,101.14/x
  3. Step 3: Cross multiply
    7,850.76x = 11,828.52 × 7,101.14
  4. Step 4: Simplify right side
    7,850.76x = 83,995,917.37
  5. Step 5: Solve for x
    x = 83,995,917.37/7,850.76
  6. Step 6: Final answer
    x = 10,699.08

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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.