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Finding the Fourth Proportional to 12,762.29, 19,102.46 and 6,824.32

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Solution

The fourth proportional to 12,762.29, 19,102.46 and 6,824.32 is: 10,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,762.29 : 19,102.46 = 6,824.32 : x
  2. Step 2: Convert to fraction form
    12,762.29/19,102.46 = 6,824.32/x
  3. Step 3: Cross multiply
    12,762.29x = 19,102.46 × 6,824.32
  4. Step 4: Simplify right side
    12,762.29x = 130,361,217.95
  5. Step 5: Solve for x
    x = 130,361,217.95/12,762.29
  6. Step 6: Final answer
    x = 10,214.56

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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.