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Finding the Fourth Proportional to 8,343, 11,513.67 and 4,758.54

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Solution

The fourth proportional to 8,343, 11,513.67 and 4,758.54 is: 6,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 11,513.67 = 4,758.54 : x
  2. Step 2: Convert to fraction form
    8,343/11,513.67 = 4,758.54/x
  3. Step 3: Cross multiply
    8,343x = 11,513.67 × 4,758.54
  4. Step 4: Simplify right side
    8,343x = 54,788,259.24
  5. Step 5: Solve for x
    x = 54,788,259.24/8,343
  6. Step 6: Final answer
    x = 6,566.97

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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.