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Finding the Fourth Proportional to 7,094.34, 9,803.67 and 5,322.87

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Solution

The fourth proportional to 7,094.34, 9,803.67 and 5,322.87 is: 7,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.34 : 9,803.67 = 5,322.87 : x
  2. Step 2: Convert to fraction form
    7,094.34/9,803.67 = 5,322.87/x
  3. Step 3: Cross multiply
    7,094.34x = 9,803.67 × 5,322.87
  4. Step 4: Simplify right side
    7,094.34x = 52,183,660.93
  5. Step 5: Solve for x
    x = 52,183,660.93/7,094.34
  6. Step 6: Final answer
    x = 7,355.68

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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.