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Finding the Fourth Proportional to 11,583.54, 15,987.51 and 7,394.22

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Solution

The fourth proportional to 11,583.54, 15,987.51 and 7,394.22 is: 10,205.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.54 : 15,987.51 = 7,394.22 : x
  2. Step 2: Convert to fraction form
    11,583.54/15,987.51 = 7,394.22/x
  3. Step 3: Cross multiply
    11,583.54x = 15,987.51 × 7,394.22
  4. Step 4: Simplify right side
    11,583.54x = 118,215,166.19
  5. Step 5: Solve for x
    x = 118,215,166.19/11,583.54
  6. Step 6: Final answer
    x = 10,205.44

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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.