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Finding the Fourth Proportional to 7,102.49, 9,801.46 and 4,271.49

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Solution

The fourth proportional to 7,102.49, 9,801.46 and 4,271.49 is: 5,894.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.49 : 9,801.46 = 4,271.49 : x
  2. Step 2: Convert to fraction form
    7,102.49/9,801.46 = 4,271.49/x
  3. Step 3: Cross multiply
    7,102.49x = 9,801.46 × 4,271.49
  4. Step 4: Simplify right side
    7,102.49x = 41,866,817.02
  5. Step 5: Solve for x
    x = 41,866,817.02/7,102.49
  6. Step 6: Final answer
    x = 5,894.67

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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.