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Finding the Fourth Proportional to 6,333.57, 9,502.79 and 4,461.26

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Solution

The fourth proportional to 6,333.57, 9,502.79 and 4,461.26 is: 6,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333.57 : 9,502.79 = 4,461.26 : x
  2. Step 2: Convert to fraction form
    6,333.57/9,502.79 = 4,461.26/x
  3. Step 3: Cross multiply
    6,333.57x = 9,502.79 × 4,461.26
  4. Step 4: Simplify right side
    6,333.57x = 42,394,347.10
  5. Step 5: Solve for x
    x = 42,394,347.10/6,333.57
  6. Step 6: Final answer
    x = 6,693.59

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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.