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Finding the Fourth Proportional to 6,705.51, 10,058.72 and 1,775.09

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Solution

The fourth proportional to 6,705.51, 10,058.72 and 1,775.09 is: 2,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.51 : 10,058.72 = 1,775.09 : x
  2. Step 2: Convert to fraction form
    6,705.51/10,058.72 = 1,775.09/x
  3. Step 3: Cross multiply
    6,705.51x = 10,058.72 × 1,775.09
  4. Step 4: Simplify right side
    6,705.51x = 17,855,074.12
  5. Step 5: Solve for x
    x = 17,855,074.12/6,705.51
  6. Step 6: Final answer
    x = 2,662.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.