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Finding the Fourth Proportional to 9,243.60, 13,857.60 and 4,310.64

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Solution

The fourth proportional to 9,243.60, 13,857.60 and 4,310.64 is: 6,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.60 : 13,857.60 = 4,310.64 : x
  2. Step 2: Convert to fraction form
    9,243.60/13,857.60 = 4,310.64/x
  3. Step 3: Cross multiply
    9,243.60x = 13,857.60 × 4,310.64
  4. Step 4: Simplify right side
    9,243.60x = 59,735,124.86
  5. Step 5: Solve for x
    x = 59,735,124.86/9,243.60
  6. Step 6: Final answer
    x = 6,462.32

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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.