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Finding the Fourth Proportional to 6,506.66, 9,759.95 and 1,576.29

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Solution

The fourth proportional to 6,506.66, 9,759.95 and 1,576.29 is: 2,364.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.66 : 9,759.95 = 1,576.29 : x
  2. Step 2: Convert to fraction form
    6,506.66/9,759.95 = 1,576.29/x
  3. Step 3: Cross multiply
    6,506.66x = 9,759.95 × 1,576.29
  4. Step 4: Simplify right side
    6,506.66x = 15,384,503.70
  5. Step 5: Solve for x
    x = 15,384,503.70/6,506.66
  6. Step 6: Final answer
    x = 2,364.43

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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.