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Finding the Fourth Proportional to 10,201.12, 14,085.88 and 8,313.04

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Solution

The fourth proportional to 10,201.12, 14,085.88 and 8,313.04 is: 11,478.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.12 : 14,085.88 = 8,313.04 : x
  2. Step 2: Convert to fraction form
    10,201.12/14,085.88 = 8,313.04/x
  3. Step 3: Cross multiply
    10,201.12x = 14,085.88 × 8,313.04
  4. Step 4: Simplify right side
    10,201.12x = 117,096,483.88
  5. Step 5: Solve for x
    x = 117,096,483.88/10,201.12
  6. Step 6: Final answer
    x = 11,478.79

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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.