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Finding the Fourth Proportional to 8,946.42, 13,354.20 and 8,295.90

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Solution

The fourth proportional to 8,946.42, 13,354.20 and 8,295.90 is: 12,383.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.42 : 13,354.20 = 8,295.90 : x
  2. Step 2: Convert to fraction form
    8,946.42/13,354.20 = 8,295.90/x
  3. Step 3: Cross multiply
    8,946.42x = 13,354.20 × 8,295.90
  4. Step 4: Simplify right side
    8,946.42x = 110,785,107.78
  5. Step 5: Solve for x
    x = 110,785,107.78/8,946.42
  6. Step 6: Final answer
    x = 12,383.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.