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Finding the Fourth Proportional to 11,561.69, 15,949.26 and 7,023.16

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Solution

The fourth proportional to 11,561.69, 15,949.26 and 7,023.16 is: 9,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,561.69 : 15,949.26 = 7,023.16 : x
  2. Step 2: Convert to fraction form
    11,561.69/15,949.26 = 7,023.16/x
  3. Step 3: Cross multiply
    11,561.69x = 15,949.26 × 7,023.16
  4. Step 4: Simplify right side
    11,561.69x = 112,014,169.75
  5. Step 5: Solve for x
    x = 112,014,169.75/11,561.69
  6. Step 6: Final answer
    x = 9,688.39

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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.