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Finding the Fourth Proportional to 7,096.19, 9,793.22 and 4,702.05

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Solution

The fourth proportional to 7,096.19, 9,793.22 and 4,702.05 is: 6,489.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.19 : 9,793.22 = 4,702.05 : x
  2. Step 2: Convert to fraction form
    7,096.19/9,793.22 = 4,702.05/x
  3. Step 3: Cross multiply
    7,096.19x = 9,793.22 × 4,702.05
  4. Step 4: Simplify right side
    7,096.19x = 46,048,186.59
  5. Step 5: Solve for x
    x = 46,048,186.59/7,096.19
  6. Step 6: Final answer
    x = 6,489.15

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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.