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Finding the Fourth Proportional to 4,596.07, 6,895.95 and 2,098.44

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Solution

The fourth proportional to 4,596.07, 6,895.95 and 2,098.44 is: 3,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.07 : 6,895.95 = 2,098.44 : x
  2. Step 2: Convert to fraction form
    4,596.07/6,895.95 = 2,098.44/x
  3. Step 3: Cross multiply
    4,596.07x = 6,895.95 × 2,098.44
  4. Step 4: Simplify right side
    4,596.07x = 14,470,706.24
  5. Step 5: Solve for x
    x = 14,470,706.24/4,596.07
  6. Step 6: Final answer
    x = 3,148.49

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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.