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Finding the Fourth Proportional to 24,923.48, 37,384.86 and 7,405.16

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Solution

The fourth proportional to 24,923.48, 37,384.86 and 7,405.16 is: 11,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,923.48 : 37,384.86 = 7,405.16 : x
  2. Step 2: Convert to fraction form
    24,923.48/37,384.86 = 7,405.16/x
  3. Step 3: Cross multiply
    24,923.48x = 37,384.86 × 7,405.16
  4. Step 4: Simplify right side
    24,923.48x = 276,840,869.88
  5. Step 5: Solve for x
    x = 276,840,869.88/24,923.48
  6. Step 6: Final answer
    x = 11,107.63

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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.