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Finding the Fourth Proportional to 12,457.60, 17,192.86 and 7,676.57

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Solution

The fourth proportional to 12,457.60, 17,192.86 and 7,676.57 is: 10,594.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,457.60 : 17,192.86 = 7,676.57 : x
  2. Step 2: Convert to fraction form
    12,457.60/17,192.86 = 7,676.57/x
  3. Step 3: Cross multiply
    12,457.60x = 17,192.86 × 7,676.57
  4. Step 4: Simplify right side
    12,457.60x = 131,982,217.08
  5. Step 5: Solve for x
    x = 131,982,217.08/12,457.60
  6. Step 6: Final answer
    x = 10,594.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.