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Finding the Fourth Proportional to 13,492.80, 18,621.16 and 7,523.64

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Solution

The fourth proportional to 13,492.80, 18,621.16 and 7,523.64 is: 10,383.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,492.80 : 18,621.16 = 7,523.64 : x
  2. Step 2: Convert to fraction form
    13,492.80/18,621.16 = 7,523.64/x
  3. Step 3: Cross multiply
    13,492.80x = 18,621.16 × 7,523.64
  4. Step 4: Simplify right side
    13,492.80x = 140,098,904.22
  5. Step 5: Solve for x
    x = 140,098,904.22/13,492.80
  6. Step 6: Final answer
    x = 10,383.23

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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.