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Finding the Fourth Proportional to 8,761.76, 12,091.14 and 4,782.84

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Solution

The fourth proportional to 8,761.76, 12,091.14 and 4,782.84 is: 6,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,761.76 : 12,091.14 = 4,782.84 : x
  2. Step 2: Convert to fraction form
    8,761.76/12,091.14 = 4,782.84/x
  3. Step 3: Cross multiply
    8,761.76x = 12,091.14 × 4,782.84
  4. Step 4: Simplify right side
    8,761.76x = 57,829,988.04
  5. Step 5: Solve for x
    x = 57,829,988.04/8,761.76
  6. Step 6: Final answer
    x = 6,600.27

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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.