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Finding the Fourth Proportional to 17,078.46, 23,567.79 and 9,525

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Solution

The fourth proportional to 17,078.46, 23,567.79 and 9,525 is: 13,144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.46 : 23,567.79 = 9,525 : x
  2. Step 2: Convert to fraction form
    17,078.46/23,567.79 = 9,525/x
  3. Step 3: Cross multiply
    17,078.46x = 23,567.79 × 9,525
  4. Step 4: Simplify right side
    17,078.46x = 224,483,199.75
  5. Step 5: Solve for x
    x = 224,483,199.75/17,078.46
  6. Step 6: Final answer
    x = 13,144.23

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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.