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Finding the Fourth Proportional to 4,804.57, 7,157.57 and 4,628.24

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Solution

The fourth proportional to 4,804.57, 7,157.57 and 4,628.24 is: 6,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.57 : 7,157.57 = 4,628.24 : x
  2. Step 2: Convert to fraction form
    4,804.57/7,157.57 = 4,628.24/x
  3. Step 3: Cross multiply
    4,804.57x = 7,157.57 × 4,628.24
  4. Step 4: Simplify right side
    4,804.57x = 33,126,919.69
  5. Step 5: Solve for x
    x = 33,126,919.69/4,804.57
  6. Step 6: Final answer
    x = 6,894.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.