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Finding the Fourth Proportional to 6,466.94, 8,924.14 and 3,953.26

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Solution

The fourth proportional to 6,466.94, 8,924.14 and 3,953.26 is: 5,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.94 : 8,924.14 = 3,953.26 : x
  2. Step 2: Convert to fraction form
    6,466.94/8,924.14 = 3,953.26/x
  3. Step 3: Cross multiply
    6,466.94x = 8,924.14 × 3,953.26
  4. Step 4: Simplify right side
    6,466.94x = 35,279,445.70
  5. Step 5: Solve for x
    x = 35,279,445.70/6,466.94
  6. Step 6: Final answer
    x = 5,455.35

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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.