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Finding the Fourth Proportional to 7,059.88, 9,735.54 and 4,537.96

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Solution

The fourth proportional to 7,059.88, 9,735.54 and 4,537.96 is: 6,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.88 : 9,735.54 = 4,537.96 : x
  2. Step 2: Convert to fraction form
    7,059.88/9,735.54 = 4,537.96/x
  3. Step 3: Cross multiply
    7,059.88x = 9,735.54 × 4,537.96
  4. Step 4: Simplify right side
    7,059.88x = 44,179,491.10
  5. Step 5: Solve for x
    x = 44,179,491.10/7,059.88
  6. Step 6: Final answer
    x = 6,257.82

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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.