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Finding the Fourth Proportional to 7,148.74, 9,865.14 and 3,962.01

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Solution

The fourth proportional to 7,148.74, 9,865.14 and 3,962.01 is: 5,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.74 : 9,865.14 = 3,962.01 : x
  2. Step 2: Convert to fraction form
    7,148.74/9,865.14 = 3,962.01/x
  3. Step 3: Cross multiply
    7,148.74x = 9,865.14 × 3,962.01
  4. Step 4: Simplify right side
    7,148.74x = 39,085,783.33
  5. Step 5: Solve for x
    x = 39,085,783.33/7,148.74
  6. Step 6: Final answer
    x = 5,467.51

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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.