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Finding the Fourth Proportional to 7,425, 10,246.50 and 4,113.64

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Solution

The fourth proportional to 7,425, 10,246.50 and 4,113.64 is: 5,676.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425 : 10,246.50 = 4,113.64 : x
  2. Step 2: Convert to fraction form
    7,425/10,246.50 = 4,113.64/x
  3. Step 3: Cross multiply
    7,425x = 10,246.50 × 4,113.64
  4. Step 4: Simplify right side
    7,425x = 42,150,412.26
  5. Step 5: Solve for x
    x = 42,150,412.26/7,425
  6. Step 6: Final answer
    x = 5,676.82

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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.