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Finding the Fourth Proportional to 6,307.12, 9,460.44 and 1,690

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Solution

The fourth proportional to 6,307.12, 9,460.44 and 1,690 is: 2,534.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.12 : 9,460.44 = 1,690 : x
  2. Step 2: Convert to fraction form
    6,307.12/9,460.44 = 1,690/x
  3. Step 3: Cross multiply
    6,307.12x = 9,460.44 × 1,690
  4. Step 4: Simplify right side
    6,307.12x = 15,988,143.60
  5. Step 5: Solve for x
    x = 15,988,143.60/6,307.12
  6. Step 6: Final answer
    x = 2,534.94

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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.