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Finding the Fourth Proportional to 5,222.50, 7,833.75 and 1,574.50

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Solution

The fourth proportional to 5,222.50, 7,833.75 and 1,574.50 is: 2,361.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.50 : 7,833.75 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    5,222.50/7,833.75 = 1,574.50/x
  3. Step 3: Cross multiply
    5,222.50x = 7,833.75 × 1,574.50
  4. Step 4: Simplify right side
    5,222.50x = 12,334,239.38
  5. Step 5: Solve for x
    x = 12,334,239.38/5,222.50
  6. Step 6: Final answer
    x = 2,361.75

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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.