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Finding the Fourth Proportional to 12,825, 19,237.50 and 4,617

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Solution

The fourth proportional to 12,825, 19,237.50 and 4,617 is: 6,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825 : 19,237.50 = 4,617 : x
  2. Step 2: Convert to fraction form
    12,825/19,237.50 = 4,617/x
  3. Step 3: Cross multiply
    12,825x = 19,237.50 × 4,617
  4. Step 4: Simplify right side
    12,825x = 88,819,537.50
  5. Step 5: Solve for x
    x = 88,819,537.50/12,825
  6. Step 6: Final answer
    x = 6,925.50

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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.