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Finding the Fourth Proportional to 7,061, 10,591.50 and 2,957

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Solution

The fourth proportional to 7,061, 10,591.50 and 2,957 is: 4,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061 : 10,591.50 = 2,957 : x
  2. Step 2: Convert to fraction form
    7,061/10,591.50 = 2,957/x
  3. Step 3: Cross multiply
    7,061x = 10,591.50 × 2,957
  4. Step 4: Simplify right side
    7,061x = 31,319,065.50
  5. Step 5: Solve for x
    x = 31,319,065.50/7,061
  6. Step 6: Final answer
    x = 4,435.50

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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.