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Finding the Fourth Proportional to 4,972.17, 7,458.21 and 1,509.42

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Solution

The fourth proportional to 4,972.17, 7,458.21 and 1,509.42 is: 2,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.17 : 7,458.21 = 1,509.42 : x
  2. Step 2: Convert to fraction form
    4,972.17/7,458.21 = 1,509.42/x
  3. Step 3: Cross multiply
    4,972.17x = 7,458.21 × 1,509.42
  4. Step 4: Simplify right side
    4,972.17x = 11,257,571.34
  5. Step 5: Solve for x
    x = 11,257,571.34/4,972.17
  6. Step 6: Final answer
    x = 2,264.12

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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.