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Finding the Fourth Proportional to 4,506.57, 6,784.22 and 4,054.46

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Solution

The fourth proportional to 4,506.57, 6,784.22 and 4,054.46 is: 6,103.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.57 : 6,784.22 = 4,054.46 : x
  2. Step 2: Convert to fraction form
    4,506.57/6,784.22 = 4,054.46/x
  3. Step 3: Cross multiply
    4,506.57x = 6,784.22 × 4,054.46
  4. Step 4: Simplify right side
    4,506.57x = 27,506,324.84
  5. Step 5: Solve for x
    x = 27,506,324.84/4,506.57
  6. Step 6: Final answer
    x = 6,103.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.