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Finding the Fourth Proportional to 6,914.58, 10,311.69 and 6,526.38

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Solution

The fourth proportional to 6,914.58, 10,311.69 and 6,526.38 is: 9,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.58 : 10,311.69 = 6,526.38 : x
  2. Step 2: Convert to fraction form
    6,914.58/10,311.69 = 6,526.38/x
  3. Step 3: Cross multiply
    6,914.58x = 10,311.69 × 6,526.38
  4. Step 4: Simplify right side
    6,914.58x = 67,298,015.46
  5. Step 5: Solve for x
    x = 67,298,015.46/6,914.58
  6. Step 6: Final answer
    x = 9,732.78

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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.