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Finding the Fourth Proportional to 13,534.56, 18,664.56 and 9,059.04

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Solution

The fourth proportional to 13,534.56, 18,664.56 and 9,059.04 is: 12,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.56 : 18,664.56 = 9,059.04 : x
  2. Step 2: Convert to fraction form
    13,534.56/18,664.56 = 9,059.04/x
  3. Step 3: Cross multiply
    13,534.56x = 18,664.56 × 9,059.04
  4. Step 4: Simplify right side
    13,534.56x = 169,082,995.62
  5. Step 5: Solve for x
    x = 169,082,995.62/13,534.56
  6. Step 6: Final answer
    x = 12,492.69

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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.