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Finding the Fourth Proportional to 7,099.32, 9,790.02 and 5,604.24

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Solution

The fourth proportional to 7,099.32, 9,790.02 and 5,604.24 is: 7,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.32 : 9,790.02 = 5,604.24 : x
  2. Step 2: Convert to fraction form
    7,099.32/9,790.02 = 5,604.24/x
  3. Step 3: Cross multiply
    7,099.32x = 9,790.02 × 5,604.24
  4. Step 4: Simplify right side
    7,099.32x = 54,865,621.68
  5. Step 5: Solve for x
    x = 54,865,621.68/7,099.32
  6. Step 6: Final answer
    x = 7,728.29

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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.