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Finding the Fourth Proportional to 8,564.54, 11,819.14 and 4,838.54

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Solution

The fourth proportional to 8,564.54, 11,819.14 and 4,838.54 is: 6,677.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.54 : 11,819.14 = 4,838.54 : x
  2. Step 2: Convert to fraction form
    8,564.54/11,819.14 = 4,838.54/x
  3. Step 3: Cross multiply
    8,564.54x = 11,819.14 × 4,838.54
  4. Step 4: Simplify right side
    8,564.54x = 57,187,381.66
  5. Step 5: Solve for x
    x = 57,187,381.66/8,564.54
  6. Step 6: Final answer
    x = 6,677.23

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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.