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Finding the Fourth Proportional to 10,017, 13,819.14 and 6,241.32

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Solution

The fourth proportional to 10,017, 13,819.14 and 6,241.32 is: 8,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,017 : 13,819.14 = 6,241.32 : x
  2. Step 2: Convert to fraction form
    10,017/13,819.14 = 6,241.32/x
  3. Step 3: Cross multiply
    10,017x = 13,819.14 × 6,241.32
  4. Step 4: Simplify right side
    10,017x = 86,249,674.86
  5. Step 5: Solve for x
    x = 86,249,674.86/10,017
  6. Step 6: Final answer
    x = 8,610.33

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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.