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Finding the Fourth Proportional to 6,130.06, 9,195.02 and 1,513.06

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Solution

The fourth proportional to 6,130.06, 9,195.02 and 1,513.06 is: 2,269.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.06 : 9,195.02 = 1,513.06 : x
  2. Step 2: Convert to fraction form
    6,130.06/9,195.02 = 1,513.06/x
  3. Step 3: Cross multiply
    6,130.06x = 9,195.02 × 1,513.06
  4. Step 4: Simplify right side
    6,130.06x = 13,912,616.96
  5. Step 5: Solve for x
    x = 13,912,616.96/6,130.06
  6. Step 6: Final answer
    x = 2,269.57

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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.