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Finding the Fourth Proportional to 9,502.62, 14,256.36 and 3,960.24

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Solution

The fourth proportional to 9,502.62, 14,256.36 and 3,960.24 is: 5,941.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.62 : 14,256.36 = 3,960.24 : x
  2. Step 2: Convert to fraction form
    9,502.62/14,256.36 = 3,960.24/x
  3. Step 3: Cross multiply
    9,502.62x = 14,256.36 × 3,960.24
  4. Step 4: Simplify right side
    9,502.62x = 56,458,607.13
  5. Step 5: Solve for x
    x = 56,458,607.13/9,502.62
  6. Step 6: Final answer
    x = 5,941.37

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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.