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Finding the Fourth Proportional to 10,262, 14,161.56 and 7,469.84

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Solution

The fourth proportional to 10,262, 14,161.56 and 7,469.84 is: 10,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262 : 14,161.56 = 7,469.84 : x
  2. Step 2: Convert to fraction form
    10,262/14,161.56 = 7,469.84/x
  3. Step 3: Cross multiply
    10,262x = 14,161.56 × 7,469.84
  4. Step 4: Simplify right side
    10,262x = 105,784,587.35
  5. Step 5: Solve for x
    x = 105,784,587.35/10,262
  6. Step 6: Final answer
    x = 10,308.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.