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Finding the Fourth Proportional to 3,130.77, 4,696.17 and 939.51

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Solution

The fourth proportional to 3,130.77, 4,696.17 and 939.51 is: 1,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.77 : 4,696.17 = 939.51 : x
  2. Step 2: Convert to fraction form
    3,130.77/4,696.17 = 939.51/x
  3. Step 3: Cross multiply
    3,130.77x = 4,696.17 × 939.51
  4. Step 4: Simplify right side
    3,130.77x = 4,412,098.68
  5. Step 5: Solve for x
    x = 4,412,098.68/3,130.77
  6. Step 6: Final answer
    x = 1,409.27

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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.