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Finding the Fourth Proportional to 11,448.57, 15,801.71 and 7,462.74

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Solution

The fourth proportional to 11,448.57, 15,801.71 and 7,462.74 is: 10,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.57 : 15,801.71 = 7,462.74 : x
  2. Step 2: Convert to fraction form
    11,448.57/15,801.71 = 7,462.74/x
  3. Step 3: Cross multiply
    11,448.57x = 15,801.71 × 7,462.74
  4. Step 4: Simplify right side
    11,448.57x = 117,924,015.97
  5. Step 5: Solve for x
    x = 117,924,015.97/11,448.57
  6. Step 6: Final answer
    x = 10,300.33

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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.