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Finding the Fourth Proportional to 23,457, 35,189.13 and 7,878.27

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Solution

The fourth proportional to 23,457, 35,189.13 and 7,878.27 is: 11,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457 : 35,189.13 = 7,878.27 : x
  2. Step 2: Convert to fraction form
    23,457/35,189.13 = 7,878.27/x
  3. Step 3: Cross multiply
    23,457x = 35,189.13 × 7,878.27
  4. Step 4: Simplify right side
    23,457x = 277,229,467.21
  5. Step 5: Solve for x
    x = 277,229,467.21/23,457
  6. Step 6: Final answer
    x = 11,818.62

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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.