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Finding the Fourth Proportional to 6,573, 9,065.34 and 5,580.84

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Solution

The fourth proportional to 6,573, 9,065.34 and 5,580.84 is: 7,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573 : 9,065.34 = 5,580.84 : x
  2. Step 2: Convert to fraction form
    6,573/9,065.34 = 5,580.84/x
  3. Step 3: Cross multiply
    6,573x = 9,065.34 × 5,580.84
  4. Step 4: Simplify right side
    6,573x = 50,592,212.09
  5. Step 5: Solve for x
    x = 50,592,212.09/6,573
  6. Step 6: Final answer
    x = 7,696.97

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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.