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Finding the Fourth Proportional to 7,086.76, 9,779.14 and 4,102.78

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Solution

The fourth proportional to 7,086.76, 9,779.14 and 4,102.78 is: 5,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.76 : 9,779.14 = 4,102.78 : x
  2. Step 2: Convert to fraction form
    7,086.76/9,779.14 = 4,102.78/x
  3. Step 3: Cross multiply
    7,086.76x = 9,779.14 × 4,102.78
  4. Step 4: Simplify right side
    7,086.76x = 40,121,660.01
  5. Step 5: Solve for x
    x = 40,121,660.01/7,086.76
  6. Step 6: Final answer
    x = 5,661.50

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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.