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Finding the Fourth Proportional to 4,627.63, 6,941.06 and 2,406.48

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Solution

The fourth proportional to 4,627.63, 6,941.06 and 2,406.48 is: 3,609.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,627.63 : 6,941.06 = 2,406.48 : x
  2. Step 2: Convert to fraction form
    4,627.63/6,941.06 = 2,406.48/x
  3. Step 3: Cross multiply
    4,627.63x = 6,941.06 × 2,406.48
  4. Step 4: Simplify right side
    4,627.63x = 16,703,522.07
  5. Step 5: Solve for x
    x = 16,703,522.07/4,627.63
  6. Step 6: Final answer
    x = 3,609.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.