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Finding the Fourth Proportional to 7,101.69, 9,788.09 and 5,330.22

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Solution

The fourth proportional to 7,101.69, 9,788.09 and 5,330.22 is: 7,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.69 : 9,788.09 = 5,330.22 : x
  2. Step 2: Convert to fraction form
    7,101.69/9,788.09 = 5,330.22/x
  3. Step 3: Cross multiply
    7,101.69x = 9,788.09 × 5,330.22
  4. Step 4: Simplify right side
    7,101.69x = 52,172,646.43
  5. Step 5: Solve for x
    x = 52,172,646.43/7,101.69
  6. Step 6: Final answer
    x = 7,346.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.