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Finding the Fourth Proportional to 15,693, 23,537.77 and 4,599.80

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Solution

The fourth proportional to 15,693, 23,537.77 and 4,599.80 is: 6,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,693 : 23,537.77 = 4,599.80 : x
  2. Step 2: Convert to fraction form
    15,693/23,537.77 = 4,599.80/x
  3. Step 3: Cross multiply
    15,693x = 23,537.77 × 4,599.80
  4. Step 4: Simplify right side
    15,693x = 108,269,081.79
  5. Step 5: Solve for x
    x = 108,269,081.79/15,693
  6. Step 6: Final answer
    x = 6,899.20

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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.