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Finding the Fourth Proportional to 4,696.08, 7,044.12 and 1,409.22

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Solution

The fourth proportional to 4,696.08, 7,044.12 and 1,409.22 is: 2,113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.08 : 7,044.12 = 1,409.22 : x
  2. Step 2: Convert to fraction form
    4,696.08/7,044.12 = 1,409.22/x
  3. Step 3: Cross multiply
    4,696.08x = 7,044.12 × 1,409.22
  4. Step 4: Simplify right side
    4,696.08x = 9,926,714.79
  5. Step 5: Solve for x
    x = 9,926,714.79/4,696.08
  6. Step 6: Final answer
    x = 2,113.83

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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.