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Finding the Fourth Proportional to 11,597.57, 15,999.28 and 7,617.23

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Solution

The fourth proportional to 11,597.57, 15,999.28 and 7,617.23 is: 10,508.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.57 : 15,999.28 = 7,617.23 : x
  2. Step 2: Convert to fraction form
    11,597.57/15,999.28 = 7,617.23/x
  3. Step 3: Cross multiply
    11,597.57x = 15,999.28 × 7,617.23
  4. Step 4: Simplify right side
    11,597.57x = 121,870,195.59
  5. Step 5: Solve for x
    x = 121,870,195.59/11,597.57
  6. Step 6: Final answer
    x = 10,508.25

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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.