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Finding the Fourth Proportional to 7,575.50, 10,454.19 and 4,263.50

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Solution

The fourth proportional to 7,575.50, 10,454.19 and 4,263.50 is: 5,883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,575.50 : 10,454.19 = 4,263.50 : x
  2. Step 2: Convert to fraction form
    7,575.50/10,454.19 = 4,263.50/x
  3. Step 3: Cross multiply
    7,575.50x = 10,454.19 × 4,263.50
  4. Step 4: Simplify right side
    7,575.50x = 44,571,439.07
  5. Step 5: Solve for x
    x = 44,571,439.07/7,575.50
  6. Step 6: Final answer
    x = 5,883.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.