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Finding the Fourth Proportional to 7,106.91, 9,817.46 and 6,733.23

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Solution

The fourth proportional to 7,106.91, 9,817.46 and 6,733.23 is: 9,301.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.91 : 9,817.46 = 6,733.23 : x
  2. Step 2: Convert to fraction form
    7,106.91/9,817.46 = 6,733.23/x
  3. Step 3: Cross multiply
    7,106.91x = 9,817.46 × 6,733.23
  4. Step 4: Simplify right side
    7,106.91x = 66,103,182.53
  5. Step 5: Solve for x
    x = 66,103,182.53/7,106.91
  6. Step 6: Final answer
    x = 9,301.26

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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.