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Finding the Fourth Proportional to 5,114.36, 7,628.93 and 5,029.68

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Solution

The fourth proportional to 5,114.36, 7,628.93 and 5,029.68 is: 7,502.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.36 : 7,628.93 = 5,029.68 : x
  2. Step 2: Convert to fraction form
    5,114.36/7,628.93 = 5,029.68/x
  3. Step 3: Cross multiply
    5,114.36x = 7,628.93 × 5,029.68
  4. Step 4: Simplify right side
    5,114.36x = 38,371,076.64
  5. Step 5: Solve for x
    x = 38,371,076.64/5,114.36
  6. Step 6: Final answer
    x = 7,502.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.