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Finding the Fourth Proportional to 4,922.83, 7,365.07 and 4,509.12

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Solution

The fourth proportional to 4,922.83, 7,365.07 and 4,509.12 is: 6,746.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.83 : 7,365.07 = 4,509.12 : x
  2. Step 2: Convert to fraction form
    4,922.83/7,365.07 = 4,509.12/x
  3. Step 3: Cross multiply
    4,922.83x = 7,365.07 × 4,509.12
  4. Step 4: Simplify right side
    4,922.83x = 33,209,984.44
  5. Step 5: Solve for x
    x = 33,209,984.44/4,922.83
  6. Step 6: Final answer
    x = 6,746.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.