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Finding the Fourth Proportional to 17,084.28, 23,577 and 9,530.64

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Solution

The fourth proportional to 17,084.28, 23,577 and 9,530.64 is: 13,152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,084.28 : 23,577 = 9,530.64 : x
  2. Step 2: Convert to fraction form
    17,084.28/23,577 = 9,530.64/x
  3. Step 3: Cross multiply
    17,084.28x = 23,577 × 9,530.64
  4. Step 4: Simplify right side
    17,084.28x = 224,703,899.28
  5. Step 5: Solve for x
    x = 224,703,899.28/17,084.28
  6. Step 6: Final answer
    x = 13,152.67

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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.