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Finding the Fourth Proportional to 10,497, 14,487.12 and 6,021.48

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Solution

The fourth proportional to 10,497, 14,487.12 and 6,021.48 is: 8,310.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497 : 14,487.12 = 6,021.48 : x
  2. Step 2: Convert to fraction form
    10,497/14,487.12 = 6,021.48/x
  3. Step 3: Cross multiply
    10,497x = 14,487.12 × 6,021.48
  4. Step 4: Simplify right side
    10,497x = 87,233,903.34
  5. Step 5: Solve for x
    x = 87,233,903.34/10,497
  6. Step 6: Final answer
    x = 8,310.37

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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.