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Finding the Fourth Proportional to 6,305.84, 9,457.54 and 2,409.32

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Solution

The fourth proportional to 6,305.84, 9,457.54 and 2,409.32 is: 3,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.84 : 9,457.54 = 2,409.32 : x
  2. Step 2: Convert to fraction form
    6,305.84/9,457.54 = 2,409.32/x
  3. Step 3: Cross multiply
    6,305.84x = 9,457.54 × 2,409.32
  4. Step 4: Simplify right side
    6,305.84x = 22,786,240.27
  5. Step 5: Solve for x
    x = 22,786,240.27/6,305.84
  6. Step 6: Final answer
    x = 3,613.51

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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.