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Finding the Fourth Proportional to 17,502, 26,236.48 and 6,978.52

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Solution

The fourth proportional to 17,502, 26,236.48 and 6,978.52 is: 10,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,502 : 26,236.48 = 6,978.52 : x
  2. Step 2: Convert to fraction form
    17,502/26,236.48 = 6,978.52/x
  3. Step 3: Cross multiply
    17,502x = 26,236.48 × 6,978.52
  4. Step 4: Simplify right side
    17,502x = 183,091,800.41
  5. Step 5: Solve for x
    x = 183,091,800.41/17,502
  6. Step 6: Final answer
    x = 10,461.19

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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.