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Finding the Fourth Proportional to 6,480.54, 9,676.40 and 5,702.94

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Solution

The fourth proportional to 6,480.54, 9,676.40 and 5,702.94 is: 8,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.54 : 9,676.40 = 5,702.94 : x
  2. Step 2: Convert to fraction form
    6,480.54/9,676.40 = 5,702.94/x
  3. Step 3: Cross multiply
    6,480.54x = 9,676.40 × 5,702.94
  4. Step 4: Simplify right side
    6,480.54x = 55,183,900.10
  5. Step 5: Solve for x
    x = 55,183,900.10/6,480.54
  6. Step 6: Final answer
    x = 8,515.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.