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Finding the Fourth Proportional to 6,568.50, 9,852.75 and 1,951.50

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Solution

The fourth proportional to 6,568.50, 9,852.75 and 1,951.50 is: 2,927.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.50 : 9,852.75 = 1,951.50 : x
  2. Step 2: Convert to fraction form
    6,568.50/9,852.75 = 1,951.50/x
  3. Step 3: Cross multiply
    6,568.50x = 9,852.75 × 1,951.50
  4. Step 4: Simplify right side
    6,568.50x = 19,227,641.63
  5. Step 5: Solve for x
    x = 19,227,641.63/6,568.50
  6. Step 6: Final answer
    x = 2,927.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.