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Finding the Fourth Proportional to 4,789.64, 7,184.28 and 1,502.84

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Solution

The fourth proportional to 4,789.64, 7,184.28 and 1,502.84 is: 2,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.64 : 7,184.28 = 1,502.84 : x
  2. Step 2: Convert to fraction form
    4,789.64/7,184.28 = 1,502.84/x
  3. Step 3: Cross multiply
    4,789.64x = 7,184.28 × 1,502.84
  4. Step 4: Simplify right side
    4,789.64x = 10,796,823.36
  5. Step 5: Solve for x
    x = 10,796,823.36/4,789.64
  6. Step 6: Final answer
    x = 2,254.20

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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.