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Finding the Fourth Proportional to 11,573.93, 15,971.97 and 6,537.89

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Solution

The fourth proportional to 11,573.93, 15,971.97 and 6,537.89 is: 9,022.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.93 : 15,971.97 = 6,537.89 : x
  2. Step 2: Convert to fraction form
    11,573.93/15,971.97 = 6,537.89/x
  3. Step 3: Cross multiply
    11,573.93x = 15,971.97 × 6,537.89
  4. Step 4: Simplify right side
    11,573.93x = 104,422,903.08
  5. Step 5: Solve for x
    x = 104,422,903.08/11,573.93
  6. Step 6: Final answer
    x = 9,022.26

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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.