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Finding the Fourth Proportional to 4,089, 6,133.56 and 1,011

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Solution

The fourth proportional to 4,089, 6,133.56 and 1,011 is: 1,516.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089 : 6,133.56 = 1,011 : x
  2. Step 2: Convert to fraction form
    4,089/6,133.56 = 1,011/x
  3. Step 3: Cross multiply
    4,089x = 6,133.56 × 1,011
  4. Step 4: Simplify right side
    4,089x = 6,201,029.16
  5. Step 5: Solve for x
    x = 6,201,029.16/4,089
  6. Step 6: Final answer
    x = 1,516.51

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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.