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Finding the Fourth Proportional to 4,606.95, 6,913.38 and 4,589.94

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Solution

The fourth proportional to 4,606.95, 6,913.38 and 4,589.94 is: 6,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.95 : 6,913.38 = 4,589.94 : x
  2. Step 2: Convert to fraction form
    4,606.95/6,913.38 = 4,589.94/x
  3. Step 3: Cross multiply
    4,606.95x = 6,913.38 × 4,589.94
  4. Step 4: Simplify right side
    4,606.95x = 31,731,999.40
  5. Step 5: Solve for x
    x = 31,731,999.40/4,606.95
  6. Step 6: Final answer
    x = 6,887.85

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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.