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Finding the Fourth Proportional to 9,214.59, 13,821.89 and 3,058.59

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Solution

The fourth proportional to 9,214.59, 13,821.89 and 3,058.59 is: 4,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.59 : 13,821.89 = 3,058.59 : x
  2. Step 2: Convert to fraction form
    9,214.59/13,821.89 = 3,058.59/x
  3. Step 3: Cross multiply
    9,214.59x = 13,821.89 × 3,058.59
  4. Step 4: Simplify right side
    9,214.59x = 42,275,548.28
  5. Step 5: Solve for x
    x = 42,275,548.28/9,214.59
  6. Step 6: Final answer
    x = 4,587.89

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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.