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Finding the Fourth Proportional to 6,193.56, 9,290.46 and 1,513.58

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Solution

The fourth proportional to 6,193.56, 9,290.46 and 1,513.58 is: 2,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.56 : 9,290.46 = 1,513.58 : x
  2. Step 2: Convert to fraction form
    6,193.56/9,290.46 = 1,513.58/x
  3. Step 3: Cross multiply
    6,193.56x = 9,290.46 × 1,513.58
  4. Step 4: Simplify right side
    6,193.56x = 14,061,854.45
  5. Step 5: Solve for x
    x = 14,061,854.45/6,193.56
  6. Step 6: Final answer
    x = 2,270.40

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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.