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Finding the Fourth Proportional to 6,353.51, 8,767.85 and 3,702.65

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Solution

The fourth proportional to 6,353.51, 8,767.85 and 3,702.65 is: 5,109.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.51 : 8,767.85 = 3,702.65 : x
  2. Step 2: Convert to fraction form
    6,353.51/8,767.85 = 3,702.65/x
  3. Step 3: Cross multiply
    6,353.51x = 8,767.85 × 3,702.65
  4. Step 4: Simplify right side
    6,353.51x = 32,464,217.45
  5. Step 5: Solve for x
    x = 32,464,217.45/6,353.51
  6. Step 6: Final answer
    x = 5,109.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.