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Finding the Fourth Proportional to 9,466.76, 14,202.75 and 8,433.90

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Solution

The fourth proportional to 9,466.76, 14,202.75 and 8,433.90 is: 12,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.76 : 14,202.75 = 8,433.90 : x
  2. Step 2: Convert to fraction form
    9,466.76/14,202.75 = 8,433.90/x
  3. Step 3: Cross multiply
    9,466.76x = 14,202.75 × 8,433.90
  4. Step 4: Simplify right side
    9,466.76x = 119,784,573.23
  5. Step 5: Solve for x
    x = 119,784,573.23/9,466.76
  6. Step 6: Final answer
    x = 12,653.18

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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.