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Finding the Fourth Proportional to 25,604, 38,406 and 6,148

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Solution

The fourth proportional to 25,604, 38,406 and 6,148 is: 9,222

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,604 : 38,406 = 6,148 : x
  2. Step 2: Convert to fraction form
    25,604/38,406 = 6,148/x
  3. Step 3: Cross multiply
    25,604x = 38,406 × 6,148
  4. Step 4: Simplify right side
    25,604x = 236,120,088
  5. Step 5: Solve for x
    x = 236,120,088/25,604
  6. Step 6: Final answer
    x = 9,222

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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.