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Finding the Fourth Proportional to 9,457.74, 13,047.84 and 6,099.84

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Solution

The fourth proportional to 9,457.74, 13,047.84 and 6,099.84 is: 8,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.74 : 13,047.84 = 6,099.84 : x
  2. Step 2: Convert to fraction form
    9,457.74/13,047.84 = 6,099.84/x
  3. Step 3: Cross multiply
    9,457.74x = 13,047.84 × 6,099.84
  4. Step 4: Simplify right side
    9,457.74x = 79,589,736.35
  5. Step 5: Solve for x
    x = 79,589,736.35/9,457.74
  6. Step 6: Final answer
    x = 8,415.30

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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.