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Finding the Fourth Proportional to 11,017, 15,199.48 and 7,242.24

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Solution

The fourth proportional to 11,017, 15,199.48 and 7,242.24 is: 9,991.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017 : 15,199.48 = 7,242.24 : x
  2. Step 2: Convert to fraction form
    11,017/15,199.48 = 7,242.24/x
  3. Step 3: Cross multiply
    11,017x = 15,199.48 × 7,242.24
  4. Step 4: Simplify right side
    11,017x = 110,078,282.04
  5. Step 5: Solve for x
    x = 110,078,282.04/11,017
  6. Step 6: Final answer
    x = 9,991.67

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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.