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Finding the Fourth Proportional to 7,025.54, 9,697.25 and 4,156.92

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Solution

The fourth proportional to 7,025.54, 9,697.25 and 4,156.92 is: 5,737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,025.54 : 9,697.25 = 4,156.92 : x
  2. Step 2: Convert to fraction form
    7,025.54/9,697.25 = 4,156.92/x
  3. Step 3: Cross multiply
    7,025.54x = 9,697.25 × 4,156.92
  4. Step 4: Simplify right side
    7,025.54x = 40,310,702.86
  5. Step 5: Solve for x
    x = 40,310,702.86/7,025.54
  6. Step 6: Final answer
    x = 5,737.74

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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.