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Finding the Fourth Proportional to 6,647.87, 9,172.76 and 5,054.10

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Solution

The fourth proportional to 6,647.87, 9,172.76 and 5,054.10 is: 6,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.87 : 9,172.76 = 5,054.10 : x
  2. Step 2: Convert to fraction form
    6,647.87/9,172.76 = 5,054.10/x
  3. Step 3: Cross multiply
    6,647.87x = 9,172.76 × 5,054.10
  4. Step 4: Simplify right side
    6,647.87x = 46,360,021.05
  5. Step 5: Solve for x
    x = 46,360,021.05/6,647.87
  6. Step 6: Final answer
    x = 6,973.67

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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.