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Finding the Fourth Proportional to 6,486.24, 8,946.24 and 4,244.64

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Solution

The fourth proportional to 6,486.24, 8,946.24 and 4,244.64 is: 5,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.24 : 8,946.24 = 4,244.64 : x
  2. Step 2: Convert to fraction form
    6,486.24/8,946.24 = 4,244.64/x
  3. Step 3: Cross multiply
    6,486.24x = 8,946.24 × 4,244.64
  4. Step 4: Simplify right side
    6,486.24x = 37,973,568.15
  5. Step 5: Solve for x
    x = 37,973,568.15/6,486.24
  6. Step 6: Final answer
    x = 5,854.48

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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.