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Finding the Fourth Proportional to 24,790.16, 37,187.16 and 6,322

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Solution

The fourth proportional to 24,790.16, 37,187.16 and 6,322 is: 9,483.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,790.16 : 37,187.16 = 6,322 : x
  2. Step 2: Convert to fraction form
    24,790.16/37,187.16 = 6,322/x
  3. Step 3: Cross multiply
    24,790.16x = 37,187.16 × 6,322
  4. Step 4: Simplify right side
    24,790.16x = 235,097,225.52
  5. Step 5: Solve for x
    x = 235,097,225.52/24,790.16
  6. Step 6: Final answer
    x = 9,483.49

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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.