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Finding the Fourth Proportional to 11,201, 15,457.74 and 6,164.96

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Solution

The fourth proportional to 11,201, 15,457.74 and 6,164.96 is: 8,507.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201 : 15,457.74 = 6,164.96 : x
  2. Step 2: Convert to fraction form
    11,201/15,457.74 = 6,164.96/x
  3. Step 3: Cross multiply
    11,201x = 15,457.74 × 6,164.96
  4. Step 4: Simplify right side
    11,201x = 95,296,348.79
  5. Step 5: Solve for x
    x = 95,296,348.79/11,201
  6. Step 6: Final answer
    x = 8,507.84

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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.