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Finding the Fourth Proportional to 6,852.46, 10,278.66 and 1,658.32

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Solution

The fourth proportional to 6,852.46, 10,278.66 and 1,658.32 is: 2,487.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.46 : 10,278.66 = 1,658.32 : x
  2. Step 2: Convert to fraction form
    6,852.46/10,278.66 = 1,658.32/x
  3. Step 3: Cross multiply
    6,852.46x = 10,278.66 × 1,658.32
  4. Step 4: Simplify right side
    6,852.46x = 17,045,307.45
  5. Step 5: Solve for x
    x = 17,045,307.45/6,852.46
  6. Step 6: Final answer
    x = 2,487.47

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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.