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Finding the Fourth Proportional to 7,642, 10,546.37 and 4,499.20

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Solution

The fourth proportional to 7,642, 10,546.37 and 4,499.20 is: 6,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642 : 10,546.37 = 4,499.20 : x
  2. Step 2: Convert to fraction form
    7,642/10,546.37 = 4,499.20/x
  3. Step 3: Cross multiply
    7,642x = 10,546.37 × 4,499.20
  4. Step 4: Simplify right side
    7,642x = 47,450,227.90
  5. Step 5: Solve for x
    x = 47,450,227.90/7,642
  6. Step 6: Final answer
    x = 6,209.14

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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.