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Finding the Fourth Proportional to 19,465, 29,197.50 and 4,873

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Solution

The fourth proportional to 19,465, 29,197.50 and 4,873 is: 7,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,465 : 29,197.50 = 4,873 : x
  2. Step 2: Convert to fraction form
    19,465/29,197.50 = 4,873/x
  3. Step 3: Cross multiply
    19,465x = 29,197.50 × 4,873
  4. Step 4: Simplify right side
    19,465x = 142,279,417.50
  5. Step 5: Solve for x
    x = 142,279,417.50/19,465
  6. Step 6: Final answer
    x = 7,309.50

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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.