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Finding the Fourth Proportional to 8,237.40, 11,354.40 and 6,466.02

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Solution

The fourth proportional to 8,237.40, 11,354.40 and 6,466.02 is: 8,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.40 : 11,354.40 = 6,466.02 : x
  2. Step 2: Convert to fraction form
    8,237.40/11,354.40 = 6,466.02/x
  3. Step 3: Cross multiply
    8,237.40x = 11,354.40 × 6,466.02
  4. Step 4: Simplify right side
    8,237.40x = 73,417,777.49
  5. Step 5: Solve for x
    x = 73,417,777.49/8,237.40
  6. Step 6: Final answer
    x = 8,912.74

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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.