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Finding the Fourth Proportional to 6,430.36, 9,646.90 and 2,048.18

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Solution

The fourth proportional to 6,430.36, 9,646.90 and 2,048.18 is: 3,072.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.36 : 9,646.90 = 2,048.18 : x
  2. Step 2: Convert to fraction form
    6,430.36/9,646.90 = 2,048.18/x
  3. Step 3: Cross multiply
    6,430.36x = 9,646.90 × 2,048.18
  4. Step 4: Simplify right side
    6,430.36x = 19,758,587.64
  5. Step 5: Solve for x
    x = 19,758,587.64/6,430.36
  6. Step 6: Final answer
    x = 3,072.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.