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Finding the Fourth Proportional to 21,302.40, 31,950.80 and 6,512.80

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Solution

The fourth proportional to 21,302.40, 31,950.80 and 6,512.80 is: 9,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,302.40 : 31,950.80 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    21,302.40/31,950.80 = 6,512.80/x
  3. Step 3: Cross multiply
    21,302.40x = 31,950.80 × 6,512.80
  4. Step 4: Simplify right side
    21,302.40x = 208,089,170.24
  5. Step 5: Solve for x
    x = 208,089,170.24/21,302.40
  6. Step 6: Final answer
    x = 9,768.34

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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.