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Finding the Fourth Proportional to 11,673.60, 17,495.20 and 4,740

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Solution

The fourth proportional to 11,673.60, 17,495.20 and 4,740 is: 7,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.60 : 17,495.20 = 4,740 : x
  2. Step 2: Convert to fraction form
    11,673.60/17,495.20 = 4,740/x
  3. Step 3: Cross multiply
    11,673.60x = 17,495.20 × 4,740
  4. Step 4: Simplify right side
    11,673.60x = 82,927,248
  5. Step 5: Solve for x
    x = 82,927,248/11,673.60
  6. Step 6: Final answer
    x = 7,103.83

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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.