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Finding the Fourth Proportional to 25,574, 38,361 and 7,106

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Solution

The fourth proportional to 25,574, 38,361 and 7,106 is: 10,659

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,574 : 38,361 = 7,106 : x
  2. Step 2: Convert to fraction form
    25,574/38,361 = 7,106/x
  3. Step 3: Cross multiply
    25,574x = 38,361 × 7,106
  4. Step 4: Simplify right side
    25,574x = 272,593,266
  5. Step 5: Solve for x
    x = 272,593,266/25,574
  6. Step 6: Final answer
    x = 10,659

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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.