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Finding the Fourth Proportional to 24,394.57, 36,587.23 and 7,754.74

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Solution

The fourth proportional to 24,394.57, 36,587.23 and 7,754.74 is: 11,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.57 : 36,587.23 = 7,754.74 : x
  2. Step 2: Convert to fraction form
    24,394.57/36,587.23 = 7,754.74/x
  3. Step 3: Cross multiply
    24,394.57x = 36,587.23 × 7,754.74
  4. Step 4: Simplify right side
    24,394.57x = 283,724,345.12
  5. Step 5: Solve for x
    x = 283,724,345.12/24,394.57
  6. Step 6: Final answer
    x = 11,630.64

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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.