Home / 10,830.40-16,213.20-6,445.60

Finding the Fourth Proportional to 10,830.40, 16,213.20 and 6,445.60

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Solution

The fourth proportional to 10,830.40, 16,213.20 and 6,445.60 is: 9,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.40 : 16,213.20 = 6,445.60 : x
  2. Step 2: Convert to fraction form
    10,830.40/16,213.20 = 6,445.60/x
  3. Step 3: Cross multiply
    10,830.40x = 16,213.20 × 6,445.60
  4. Step 4: Simplify right side
    10,830.40x = 104,503,801.92
  5. Step 5: Solve for x
    x = 104,503,801.92/10,830.40
  6. Step 6: Final answer
    x = 9,649.12

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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.