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Finding the Fourth Proportional to 10,283, 14,186.10 and 6,302.60

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Solution

The fourth proportional to 10,283, 14,186.10 and 6,302.60 is: 8,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283 : 14,186.10 = 6,302.60 : x
  2. Step 2: Convert to fraction form
    10,283/14,186.10 = 6,302.60/x
  3. Step 3: Cross multiply
    10,283x = 14,186.10 × 6,302.60
  4. Step 4: Simplify right side
    10,283x = 89,409,313.86
  5. Step 5: Solve for x
    x = 89,409,313.86/10,283
  6. Step 6: Final answer
    x = 8,694.87

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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.