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Finding the Fourth Proportional to 6,803.46, 10,158.62 and 6,096.11

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Solution

The fourth proportional to 6,803.46, 10,158.62 and 6,096.11 is: 9,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.46 : 10,158.62 = 6,096.11 : x
  2. Step 2: Convert to fraction form
    6,803.46/10,158.62 = 6,096.11/x
  3. Step 3: Cross multiply
    6,803.46x = 10,158.62 × 6,096.11
  4. Step 4: Simplify right side
    6,803.46x = 61,927,983.69
  5. Step 5: Solve for x
    x = 61,927,983.69/6,803.46
  6. Step 6: Final answer
    x = 9,102.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.