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Finding the Fourth Proportional to 6,518.64, 9,779.40 and 3,054

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Solution

The fourth proportional to 6,518.64, 9,779.40 and 3,054 is: 4,581.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.64 : 9,779.40 = 3,054 : x
  2. Step 2: Convert to fraction form
    6,518.64/9,779.40 = 3,054/x
  3. Step 3: Cross multiply
    6,518.64x = 9,779.40 × 3,054
  4. Step 4: Simplify right side
    6,518.64x = 29,866,287.60
  5. Step 5: Solve for x
    x = 29,866,287.60/6,518.64
  6. Step 6: Final answer
    x = 4,581.67

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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.