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Finding the Fourth Proportional to 24,767.76, 37,153.86 and 6,998.64

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Solution

The fourth proportional to 24,767.76, 37,153.86 and 6,998.64 is: 10,498.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,767.76 : 37,153.86 = 6,998.64 : x
  2. Step 2: Convert to fraction form
    24,767.76/37,153.86 = 6,998.64/x
  3. Step 3: Cross multiply
    24,767.76x = 37,153.86 × 6,998.64
  4. Step 4: Simplify right side
    24,767.76x = 260,026,304.98
  5. Step 5: Solve for x
    x = 260,026,304.98/24,767.76
  6. Step 6: Final answer
    x = 10,498.58

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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.