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Finding the Fourth Proportional to 9,827.64, 14,756.24 and 8,455.92

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Solution

The fourth proportional to 9,827.64, 14,756.24 and 8,455.92 is: 12,696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.64 : 14,756.24 = 8,455.92 : x
  2. Step 2: Convert to fraction form
    9,827.64/14,756.24 = 8,455.92/x
  3. Step 3: Cross multiply
    9,827.64x = 14,756.24 × 8,455.92
  4. Step 4: Simplify right side
    9,827.64x = 124,777,584.94
  5. Step 5: Solve for x
    x = 124,777,584.94/9,827.64
  6. Step 6: Final answer
    x = 12,696.60

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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.