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Finding the Fourth Proportional to 6,307.34, 9,461.02 and 1,690.46

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Solution

The fourth proportional to 6,307.34, 9,461.02 and 1,690.46 is: 2,535.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,307.34 : 9,461.02 = 1,690.46 : x
  2. Step 2: Convert to fraction form
    6,307.34/9,461.02 = 1,690.46/x
  3. Step 3: Cross multiply
    6,307.34x = 9,461.02 × 1,690.46
  4. Step 4: Simplify right side
    6,307.34x = 15,993,475.87
  5. Step 5: Solve for x
    x = 15,993,475.87/6,307.34
  6. Step 6: Final answer
    x = 2,535.69

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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.