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Finding the Fourth Proportional to 7,704.90, 10,629.30 and 4,559.25

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Solution

The fourth proportional to 7,704.90, 10,629.30 and 4,559.25 is: 6,289.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.90 : 10,629.30 = 4,559.25 : x
  2. Step 2: Convert to fraction form
    7,704.90/10,629.30 = 4,559.25/x
  3. Step 3: Cross multiply
    7,704.90x = 10,629.30 × 4,559.25
  4. Step 4: Simplify right side
    7,704.90x = 48,461,636.03
  5. Step 5: Solve for x
    x = 48,461,636.03/7,704.90
  6. Step 6: Final answer
    x = 6,289.72

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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.