Home / 10,975.76-16,464.20-6,294.52

Finding the Fourth Proportional to 10,975.76, 16,464.20 and 6,294.52

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Solution

The fourth proportional to 10,975.76, 16,464.20 and 6,294.52 is: 9,442.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,975.76 : 16,464.20 = 6,294.52 : x
  2. Step 2: Convert to fraction form
    10,975.76/16,464.20 = 6,294.52/x
  3. Step 3: Cross multiply
    10,975.76x = 16,464.20 × 6,294.52
  4. Step 4: Simplify right side
    10,975.76x = 103,634,236.18
  5. Step 5: Solve for x
    x = 103,634,236.18/10,975.76
  6. Step 6: Final answer
    x = 9,442.10

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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.