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Finding the Fourth Proportional to 9,673.62, 14,512.25 and 3,099.25

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Solution

The fourth proportional to 9,673.62, 14,512.25 and 3,099.25 is: 4,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.62 : 14,512.25 = 3,099.25 : x
  2. Step 2: Convert to fraction form
    9,673.62/14,512.25 = 3,099.25/x
  3. Step 3: Cross multiply
    9,673.62x = 14,512.25 × 3,099.25
  4. Step 4: Simplify right side
    9,673.62x = 44,977,075.32
  5. Step 5: Solve for x
    x = 44,977,075.32/9,673.62
  6. Step 6: Final answer
    x = 4,649.46

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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.