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Finding the Fourth Proportional to 6,477.70, 9,716.55 and 5,724.40

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Solution

The fourth proportional to 6,477.70, 9,716.55 and 5,724.40 is: 8,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.70 : 9,716.55 = 5,724.40 : x
  2. Step 2: Convert to fraction form
    6,477.70/9,716.55 = 5,724.40/x
  3. Step 3: Cross multiply
    6,477.70x = 9,716.55 × 5,724.40
  4. Step 4: Simplify right side
    6,477.70x = 55,621,418.82
  5. Step 5: Solve for x
    x = 55,621,418.82/6,477.70
  6. Step 6: Final answer
    x = 8,586.60

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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.