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Finding the Fourth Proportional to 6,477,288.22, 9,715,944.60 and 1,684,969.80

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Solution

The fourth proportional to 6,477,288.22, 9,715,944.60 and 1,684,969.80 is: 2,527,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477,288.22 : 9,715,944.60 = 1,684,969.80 : x
  2. Step 2: Convert to fraction form
    6,477,288.22/9,715,944.60 = 1,684,969.80/x
  3. Step 3: Cross multiply
    6,477,288.22x = 9,715,944.60 × 1,684,969.80
  4. Step 4: Simplify right side
    6,477,288.22x = 16,371,073,193,038.29
  5. Step 5: Solve for x
    x = 16,371,073,193,038.29/6,477,288.22
  6. Step 6: Final answer
    x = 2,527,457.89

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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.