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Finding the Fourth Proportional to 24,497.44, 36,746.36 and 7,857.50

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Solution

The fourth proportional to 24,497.44, 36,746.36 and 7,857.50 is: 11,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.44 : 36,746.36 = 7,857.50 : x
  2. Step 2: Convert to fraction form
    24,497.44/36,746.36 = 7,857.50/x
  3. Step 3: Cross multiply
    24,497.44x = 36,746.36 × 7,857.50
  4. Step 4: Simplify right side
    24,497.44x = 288,734,484.41
  5. Step 5: Solve for x
    x = 288,734,484.41/24,497.44
  6. Step 6: Final answer
    x = 11,786.31

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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.