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Finding the Fourth Proportional to 13,381.04, 18,465 and 7,412.96

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Solution

The fourth proportional to 13,381.04, 18,465 and 7,412.96 is: 10,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.04 : 18,465 = 7,412.96 : x
  2. Step 2: Convert to fraction form
    13,381.04/18,465 = 7,412.96/x
  3. Step 3: Cross multiply
    13,381.04x = 18,465 × 7,412.96
  4. Step 4: Simplify right side
    13,381.04x = 136,880,306.40
  5. Step 5: Solve for x
    x = 136,880,306.40/13,381.04
  6. Step 6: Final answer
    x = 10,229.42

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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.