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Finding the Fourth Proportional to 15,297.46, 22,946.18 and 4,204.19

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Solution

The fourth proportional to 15,297.46, 22,946.18 and 4,204.19 is: 6,306.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,297.46 : 22,946.18 = 4,204.19 : x
  2. Step 2: Convert to fraction form
    15,297.46/22,946.18 = 4,204.19/x
  3. Step 3: Cross multiply
    15,297.46x = 22,946.18 × 4,204.19
  4. Step 4: Simplify right side
    15,297.46x = 96,470,136.84
  5. Step 5: Solve for x
    x = 96,470,136.84/15,297.46
  6. Step 6: Final answer
    x = 6,306.29

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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.