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Finding the Fourth Proportional to 24,964.85, 37,425.02 and 9,166.26

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Solution

The fourth proportional to 24,964.85, 37,425.02 and 9,166.26 is: 13,741.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,964.85 : 37,425.02 = 9,166.26 : x
  2. Step 2: Convert to fraction form
    24,964.85/37,425.02 = 9,166.26/x
  3. Step 3: Cross multiply
    24,964.85x = 37,425.02 × 9,166.26
  4. Step 4: Simplify right side
    24,964.85x = 343,047,590.56
  5. Step 5: Solve for x
    x = 343,047,590.56/24,964.85
  6. Step 6: Final answer
    x = 13,741.22

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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.