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Finding the Fourth Proportional to 23,698.86, 35,536.36 and 7,898.30

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Solution

The fourth proportional to 23,698.86, 35,536.36 and 7,898.30 is: 11,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698.86 : 35,536.36 = 7,898.30 : x
  2. Step 2: Convert to fraction form
    23,698.86/35,536.36 = 7,898.30/x
  3. Step 3: Cross multiply
    23,698.86x = 35,536.36 × 7,898.30
  4. Step 4: Simplify right side
    23,698.86x = 280,676,832.19
  5. Step 5: Solve for x
    x = 280,676,832.19/23,698.86
  6. Step 6: Final answer
    x = 11,843.47

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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.