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Finding the Fourth Proportional to 4,657.92, 6,990.01 and 1,736.22

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Solution

The fourth proportional to 4,657.92, 6,990.01 and 1,736.22 is: 2,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.92 : 6,990.01 = 1,736.22 : x
  2. Step 2: Convert to fraction form
    4,657.92/6,990.01 = 1,736.22/x
  3. Step 3: Cross multiply
    4,657.92x = 6,990.01 × 1,736.22
  4. Step 4: Simplify right side
    4,657.92x = 12,136,195.16
  5. Step 5: Solve for x
    x = 12,136,195.16/4,657.92
  6. Step 6: Final answer
    x = 2,605.50

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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.