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Finding the Fourth Proportional to 4,630.65, 6,946.97 and 2,657.19

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Solution

The fourth proportional to 4,630.65, 6,946.97 and 2,657.19 is: 3,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.65 : 6,946.97 = 2,657.19 : x
  2. Step 2: Convert to fraction form
    4,630.65/6,946.97 = 2,657.19/x
  3. Step 3: Cross multiply
    4,630.65x = 6,946.97 × 2,657.19
  4. Step 4: Simplify right side
    4,630.65x = 18,459,419.21
  5. Step 5: Solve for x
    x = 18,459,419.21/4,630.65
  6. Step 6: Final answer
    x = 3,986.36

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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.