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Finding the Fourth Proportional to 7,503, 10,354.14 and 4,191

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Solution

The fourth proportional to 7,503, 10,354.14 and 4,191 is: 5,783.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,503 : 10,354.14 = 4,191 : x
  2. Step 2: Convert to fraction form
    7,503/10,354.14 = 4,191/x
  3. Step 3: Cross multiply
    7,503x = 10,354.14 × 4,191
  4. Step 4: Simplify right side
    7,503x = 43,394,200.74
  5. Step 5: Solve for x
    x = 43,394,200.74/7,503
  6. Step 6: Final answer
    x = 5,783.58

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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.