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Finding the Fourth Proportional to 7,059.75, 9,742.42 and 3,915.94

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Solution

The fourth proportional to 7,059.75, 9,742.42 and 3,915.94 is: 5,403.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.75 : 9,742.42 = 3,915.94 : x
  2. Step 2: Convert to fraction form
    7,059.75/9,742.42 = 3,915.94/x
  3. Step 3: Cross multiply
    7,059.75x = 9,742.42 × 3,915.94
  4. Step 4: Simplify right side
    7,059.75x = 38,150,732.17
  5. Step 5: Solve for x
    x = 38,150,732.17/7,059.75
  6. Step 6: Final answer
    x = 5,403.98

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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.