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Finding the Fourth Proportional to 9,873.74, 14,797.46 and 4,868.47

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Solution

The fourth proportional to 9,873.74, 14,797.46 and 4,868.47 is: 7,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.74 : 14,797.46 = 4,868.47 : x
  2. Step 2: Convert to fraction form
    9,873.74/14,797.46 = 4,868.47/x
  3. Step 3: Cross multiply
    9,873.74x = 14,797.46 × 4,868.47
  4. Step 4: Simplify right side
    9,873.74x = 72,040,965.26
  5. Step 5: Solve for x
    x = 72,040,965.26/9,873.74
  6. Step 6: Final answer
    x = 7,296.22

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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.