Home / 10,942-16,419.48-4,701.84

Finding the Fourth Proportional to 10,942, 16,419.48 and 4,701.84

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Solution

The fourth proportional to 10,942, 16,419.48 and 4,701.84 is: 7,055.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,942 : 16,419.48 = 4,701.84 : x
  2. Step 2: Convert to fraction form
    10,942/16,419.48 = 4,701.84/x
  3. Step 3: Cross multiply
    10,942x = 16,419.48 × 4,701.84
  4. Step 4: Simplify right side
    10,942x = 77,201,767.84
  5. Step 5: Solve for x
    x = 77,201,767.84/10,942
  6. Step 6: Final answer
    x = 7,055.54

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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.