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Finding the Fourth Proportional to 4,974.02, 7,460.16 and 1,510.46

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Solution

The fourth proportional to 4,974.02, 7,460.16 and 1,510.46 is: 2,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.02 : 7,460.16 = 1,510.46 : x
  2. Step 2: Convert to fraction form
    4,974.02/7,460.16 = 1,510.46/x
  3. Step 3: Cross multiply
    4,974.02x = 7,460.16 × 1,510.46
  4. Step 4: Simplify right side
    4,974.02x = 11,268,273.27
  5. Step 5: Solve for x
    x = 11,268,273.27/4,974.02
  6. Step 6: Final answer
    x = 2,265.43

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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.