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Finding the Fourth Proportional to 24,605.32, 36,902.54 and 7,071.24

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Solution

The fourth proportional to 24,605.32, 36,902.54 and 7,071.24 is: 10,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,605.32 : 36,902.54 = 7,071.24 : x
  2. Step 2: Convert to fraction form
    24,605.32/36,902.54 = 7,071.24/x
  3. Step 3: Cross multiply
    24,605.32x = 36,902.54 × 7,071.24
  4. Step 4: Simplify right side
    24,605.32x = 260,946,716.95
  5. Step 5: Solve for x
    x = 260,946,716.95/24,605.32
  6. Step 6: Final answer
    x = 10,605.30

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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.