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Finding the Fourth Proportional to 9,416.10, 13,025.16 and 8,777.82

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Solution

The fourth proportional to 9,416.10, 13,025.16 and 8,777.82 is: 12,142.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.10 : 13,025.16 = 8,777.82 : x
  2. Step 2: Convert to fraction form
    9,416.10/13,025.16 = 8,777.82/x
  3. Step 3: Cross multiply
    9,416.10x = 13,025.16 × 8,777.82
  4. Step 4: Simplify right side
    9,416.10x = 114,332,509.95
  5. Step 5: Solve for x
    x = 114,332,509.95/9,416.10
  6. Step 6: Final answer
    x = 12,142.24

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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.