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Finding the Fourth Proportional to 13,580.14, 18,740.82 and 7,613.14

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Solution

The fourth proportional to 13,580.14, 18,740.82 and 7,613.14 is: 10,506.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.14 : 18,740.82 = 7,613.14 : x
  2. Step 2: Convert to fraction form
    13,580.14/18,740.82 = 7,613.14/x
  3. Step 3: Cross multiply
    13,580.14x = 18,740.82 × 7,613.14
  4. Step 4: Simplify right side
    13,580.14x = 142,676,486.37
  5. Step 5: Solve for x
    x = 142,676,486.37/13,580.14
  6. Step 6: Final answer
    x = 10,506.26

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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.