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Finding the Fourth Proportional to 4,662.48, 6,434.22 and 2,566.60

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Solution

The fourth proportional to 4,662.48, 6,434.22 and 2,566.60 is: 3,541.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.48 : 6,434.22 = 2,566.60 : x
  2. Step 2: Convert to fraction form
    4,662.48/6,434.22 = 2,566.60/x
  3. Step 3: Cross multiply
    4,662.48x = 6,434.22 × 2,566.60
  4. Step 4: Simplify right side
    4,662.48x = 16,514,069.05
  5. Step 5: Solve for x
    x = 16,514,069.05/4,662.48
  6. Step 6: Final answer
    x = 3,541.91

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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.