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Finding the Fourth Proportional to 6,781.50, 9,362.84 and 4,656.35

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Solution

The fourth proportional to 6,781.50, 9,362.84 and 4,656.35 is: 6,428.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.50 : 9,362.84 = 4,656.35 : x
  2. Step 2: Convert to fraction form
    6,781.50/9,362.84 = 4,656.35/x
  3. Step 3: Cross multiply
    6,781.50x = 9,362.84 × 4,656.35
  4. Step 4: Simplify right side
    6,781.50x = 43,596,589.94
  5. Step 5: Solve for x
    x = 43,596,589.94/6,781.50
  6. Step 6: Final answer
    x = 6,428.75

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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.