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Finding the Fourth Proportional to 24,935.50, 37,403.25 and 6,467.50

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Solution

The fourth proportional to 24,935.50, 37,403.25 and 6,467.50 is: 9,701.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,935.50 : 37,403.25 = 6,467.50 : x
  2. Step 2: Convert to fraction form
    24,935.50/37,403.25 = 6,467.50/x
  3. Step 3: Cross multiply
    24,935.50x = 37,403.25 × 6,467.50
  4. Step 4: Simplify right side
    24,935.50x = 241,905,519.38
  5. Step 5: Solve for x
    x = 241,905,519.38/24,935.50
  6. Step 6: Final answer
    x = 9,701.25

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Similar ratio
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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.