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Finding the Fourth Proportional to 4,974.23, 7,459.18 and 1,510.67

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Solution

The fourth proportional to 4,974.23, 7,459.18 and 1,510.67 is: 2,265.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.23 : 7,459.18 = 1,510.67 : x
  2. Step 2: Convert to fraction form
    4,974.23/7,459.18 = 1,510.67/x
  3. Step 3: Cross multiply
    4,974.23x = 7,459.18 × 1,510.67
  4. Step 4: Simplify right side
    4,974.23x = 11,268,318.38
  5. Step 5: Solve for x
    x = 11,268,318.38/4,974.23
  6. Step 6: Final answer
    x = 2,265.34

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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.