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Finding the Fourth Proportional to 4,862.64, 7,292.13 and 1,574.85

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Solution

The fourth proportional to 4,862.64, 7,292.13 and 1,574.85 is: 2,361.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.64 : 7,292.13 = 1,574.85 : x
  2. Step 2: Convert to fraction form
    4,862.64/7,292.13 = 1,574.85/x
  3. Step 3: Cross multiply
    4,862.64x = 7,292.13 × 1,574.85
  4. Step 4: Simplify right side
    4,862.64x = 11,484,021.29
  5. Step 5: Solve for x
    x = 11,484,021.29/4,862.64
  6. Step 6: Final answer
    x = 2,361.68

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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.