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Finding the Fourth Proportional to 4,966.77, 7,448.21 and 1,803.46

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Solution

The fourth proportional to 4,966.77, 7,448.21 and 1,803.46 is: 2,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.77 : 7,448.21 = 1,803.46 : x
  2. Step 2: Convert to fraction form
    4,966.77/7,448.21 = 1,803.46/x
  3. Step 3: Cross multiply
    4,966.77x = 7,448.21 × 1,803.46
  4. Step 4: Simplify right side
    4,966.77x = 13,432,539.79
  5. Step 5: Solve for x
    x = 13,432,539.79/4,966.77
  6. Step 6: Final answer
    x = 2,704.48

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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.