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Finding the Fourth Proportional to 19,648.90, 29,485.50 and 7,962.22

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Solution

The fourth proportional to 19,648.90, 29,485.50 and 7,962.22 is: 11,948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,648.90 : 29,485.50 = 7,962.22 : x
  2. Step 2: Convert to fraction form
    19,648.90/29,485.50 = 7,962.22/x
  3. Step 3: Cross multiply
    19,648.90x = 29,485.50 × 7,962.22
  4. Step 4: Simplify right side
    19,648.90x = 234,770,037.81
  5. Step 5: Solve for x
    x = 234,770,037.81/19,648.90
  6. Step 6: Final answer
    x = 11,948.25

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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.