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Finding the Fourth Proportional to 7,056.05, 9,737.07 and 4,225

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Solution

The fourth proportional to 7,056.05, 9,737.07 and 4,225 is: 5,830.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.05 : 9,737.07 = 4,225 : x
  2. Step 2: Convert to fraction form
    7,056.05/9,737.07 = 4,225/x
  3. Step 3: Cross multiply
    7,056.05x = 9,737.07 × 4,225
  4. Step 4: Simplify right side
    7,056.05x = 41,139,120.75
  5. Step 5: Solve for x
    x = 41,139,120.75/7,056.05
  6. Step 6: Final answer
    x = 5,830.33

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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.