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Finding the Fourth Proportional to 17,032.64, 25,515.72 and 9,614.64

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Solution

The fourth proportional to 17,032.64, 25,515.72 and 9,614.64 is: 14,403.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,032.64 : 25,515.72 = 9,614.64 : x
  2. Step 2: Convert to fraction form
    17,032.64/25,515.72 = 9,614.64/x
  3. Step 3: Cross multiply
    17,032.64x = 25,515.72 × 9,614.64
  4. Step 4: Simplify right side
    17,032.64x = 245,324,462.14
  5. Step 5: Solve for x
    x = 245,324,462.14/17,032.64
  6. Step 6: Final answer
    x = 14,403.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.