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Finding the Fourth Proportional to 7,486.85, 10,338.50 and 4,659.08

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Solution

The fourth proportional to 7,486.85, 10,338.50 and 4,659.08 is: 6,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.85 : 10,338.50 = 4,659.08 : x
  2. Step 2: Convert to fraction form
    7,486.85/10,338.50 = 4,659.08/x
  3. Step 3: Cross multiply
    7,486.85x = 10,338.50 × 4,659.08
  4. Step 4: Simplify right side
    7,486.85x = 48,167,858.54
  5. Step 5: Solve for x
    x = 48,167,858.54/7,486.85
  6. Step 6: Final answer
    x = 6,433.66

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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.