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Finding the Fourth Proportional to 6,460.01, 8,914.97 and 3,665.51

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Solution

The fourth proportional to 6,460.01, 8,914.97 and 3,665.51 is: 5,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.01 : 8,914.97 = 3,665.51 : x
  2. Step 2: Convert to fraction form
    6,460.01/8,914.97 = 3,665.51/x
  3. Step 3: Cross multiply
    6,460.01x = 8,914.97 × 3,665.51
  4. Step 4: Simplify right side
    6,460.01x = 32,677,911.68
  5. Step 5: Solve for x
    x = 32,677,911.68/6,460.01
  6. Step 6: Final answer
    x = 5,058.49

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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.