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Finding the Fourth Proportional to 11,497.23, 15,865.71 and 7,028.46

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Solution

The fourth proportional to 11,497.23, 15,865.71 and 7,028.46 is: 9,698.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.23 : 15,865.71 = 7,028.46 : x
  2. Step 2: Convert to fraction form
    11,497.23/15,865.71 = 7,028.46/x
  3. Step 3: Cross multiply
    11,497.23x = 15,865.71 × 7,028.46
  4. Step 4: Simplify right side
    11,497.23x = 111,511,508.11
  5. Step 5: Solve for x
    x = 111,511,508.11/11,497.23
  6. Step 6: Final answer
    x = 9,698.99

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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.