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Finding the Fourth Proportional to 11,572.96, 15,970.04 and 6,538.22

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Solution

The fourth proportional to 11,572.96, 15,970.04 and 6,538.22 is: 9,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572.96 : 15,970.04 = 6,538.22 : x
  2. Step 2: Convert to fraction form
    11,572.96/15,970.04 = 6,538.22/x
  3. Step 3: Cross multiply
    11,572.96x = 15,970.04 × 6,538.22
  4. Step 4: Simplify right side
    11,572.96x = 104,415,634.93
  5. Step 5: Solve for x
    x = 104,415,634.93/11,572.96
  6. Step 6: Final answer
    x = 9,022.38

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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.