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Finding the Fourth Proportional to 6,506.70, 9,738.45 and 4,562.70

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Solution

The fourth proportional to 6,506.70, 9,738.45 and 4,562.70 is: 6,828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.70 : 9,738.45 = 4,562.70 : x
  2. Step 2: Convert to fraction form
    6,506.70/9,738.45 = 4,562.70/x
  3. Step 3: Cross multiply
    6,506.70x = 9,738.45 × 4,562.70
  4. Step 4: Simplify right side
    6,506.70x = 44,433,625.82
  5. Step 5: Solve for x
    x = 44,433,625.82/6,506.70
  6. Step 6: Final answer
    x = 6,828.90

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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.