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Finding the Fourth Proportional to 25,607, 38,410.50 and 6,151

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Solution

The fourth proportional to 25,607, 38,410.50 and 6,151 is: 9,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,607 : 38,410.50 = 6,151 : x
  2. Step 2: Convert to fraction form
    25,607/38,410.50 = 6,151/x
  3. Step 3: Cross multiply
    25,607x = 38,410.50 × 6,151
  4. Step 4: Simplify right side
    25,607x = 236,262,985.50
  5. Step 5: Solve for x
    x = 236,262,985.50/25,607
  6. Step 6: Final answer
    x = 9,226.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.