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Finding the Fourth Proportional to 6,130, 9,195.05 and 1,513

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Solution

The fourth proportional to 6,130, 9,195.05 and 1,513 is: 2,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130 : 9,195.05 = 1,513 : x
  2. Step 2: Convert to fraction form
    6,130/9,195.05 = 1,513/x
  3. Step 3: Cross multiply
    6,130x = 9,195.05 × 1,513
  4. Step 4: Simplify right side
    6,130x = 13,912,110.65
  5. Step 5: Solve for x
    x = 13,912,110.65/6,130
  6. Step 6: Final answer
    x = 2,269.51

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Double scale
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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.