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Finding the Fourth Proportional to 5,207.48, 7,812.04 and 1,696.68

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Solution

The fourth proportional to 5,207.48, 7,812.04 and 1,696.68 is: 2,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.48 : 7,812.04 = 1,696.68 : x
  2. Step 2: Convert to fraction form
    5,207.48/7,812.04 = 1,696.68/x
  3. Step 3: Cross multiply
    5,207.48x = 7,812.04 × 1,696.68
  4. Step 4: Simplify right side
    5,207.48x = 13,254,504.85
  5. Step 5: Solve for x
    x = 13,254,504.85/5,207.48
  6. Step 6: Final answer
    x = 2,545.28

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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.