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Finding the Fourth Proportional to 9,782.57, 14,676.10 and 4,236.84

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Solution

The fourth proportional to 9,782.57, 14,676.10 and 4,236.84 is: 6,356.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.57 : 14,676.10 = 4,236.84 : x
  2. Step 2: Convert to fraction form
    9,782.57/14,676.10 = 4,236.84/x
  3. Step 3: Cross multiply
    9,782.57x = 14,676.10 × 4,236.84
  4. Step 4: Simplify right side
    9,782.57x = 62,180,276.93
  5. Step 5: Solve for x
    x = 62,180,276.93/9,782.57
  6. Step 6: Final answer
    x = 6,356.23

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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.