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Finding the Fourth Proportional to 7,049.16, 9,728.64 and 4,923.36

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Solution

The fourth proportional to 7,049.16, 9,728.64 and 4,923.36 is: 6,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.16 : 9,728.64 = 4,923.36 : x
  2. Step 2: Convert to fraction form
    7,049.16/9,728.64 = 4,923.36/x
  3. Step 3: Cross multiply
    7,049.16x = 9,728.64 × 4,923.36
  4. Step 4: Simplify right side
    7,049.16x = 47,897,597.03
  5. Step 5: Solve for x
    x = 47,897,597.03/7,049.16
  6. Step 6: Final answer
    x = 6,794.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.