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Finding the Fourth Proportional to 6,096.78, 9,135.56 and 4,713.50

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Solution

The fourth proportional to 6,096.78, 9,135.56 and 4,713.50 is: 7,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.78 : 9,135.56 = 4,713.50 : x
  2. Step 2: Convert to fraction form
    6,096.78/9,135.56 = 4,713.50/x
  3. Step 3: Cross multiply
    6,096.78x = 9,135.56 × 4,713.50
  4. Step 4: Simplify right side
    6,096.78x = 43,060,462.06
  5. Step 5: Solve for x
    x = 43,060,462.06/6,096.78
  6. Step 6: Final answer
    x = 7,062.82

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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.