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Finding the Fourth Proportional to 4,507.84, 6,760.95 and 1,220.50

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Solution

The fourth proportional to 4,507.84, 6,760.95 and 1,220.50 is: 1,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,507.84 : 6,760.95 = 1,220.50 : x
  2. Step 2: Convert to fraction form
    4,507.84/6,760.95 = 1,220.50/x
  3. Step 3: Cross multiply
    4,507.84x = 6,760.95 × 1,220.50
  4. Step 4: Simplify right side
    4,507.84x = 8,251,739.48
  5. Step 5: Solve for x
    x = 8,251,739.48/4,507.84
  6. Step 6: Final answer
    x = 1,830.53

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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.