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Finding the Fourth Proportional to 4,972.65, 7,458.56 and 2,339.54

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Solution

The fourth proportional to 4,972.65, 7,458.56 and 2,339.54 is: 3,509.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.65 : 7,458.56 = 2,339.54 : x
  2. Step 2: Convert to fraction form
    4,972.65/7,458.56 = 2,339.54/x
  3. Step 3: Cross multiply
    4,972.65x = 7,458.56 × 2,339.54
  4. Step 4: Simplify right side
    4,972.65x = 17,449,550.47
  5. Step 5: Solve for x
    x = 17,449,550.47/4,972.65
  6. Step 6: Final answer
    x = 3,509.10

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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.