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Finding the Fourth Proportional to 6,245.63, 9,322.87 and 5,457.41

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Solution

The fourth proportional to 6,245.63, 9,322.87 and 5,457.41 is: 8,146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.63 : 9,322.87 = 5,457.41 : x
  2. Step 2: Convert to fraction form
    6,245.63/9,322.87 = 5,457.41/x
  3. Step 3: Cross multiply
    6,245.63x = 9,322.87 × 5,457.41
  4. Step 4: Simplify right side
    6,245.63x = 50,878,677.35
  5. Step 5: Solve for x
    x = 50,878,677.35/6,245.63
  6. Step 6: Final answer
    x = 8,146.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.