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Finding the Fourth Proportional to 4,309.16, 5,946.64 and 2,446.16

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Solution

The fourth proportional to 4,309.16, 5,946.64 and 2,446.16 is: 3,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.16 : 5,946.64 = 2,446.16 : x
  2. Step 2: Convert to fraction form
    4,309.16/5,946.64 = 2,446.16/x
  3. Step 3: Cross multiply
    4,309.16x = 5,946.64 × 2,446.16
  4. Step 4: Simplify right side
    4,309.16x = 14,546,426.79
  5. Step 5: Solve for x
    x = 14,546,426.79/4,309.16
  6. Step 6: Final answer
    x = 3,375.70

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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.