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Finding the Fourth Proportional to 6,944.52, 10,416.76 and 6,538.70

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Solution

The fourth proportional to 6,944.52, 10,416.76 and 6,538.70 is: 9,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.52 : 10,416.76 = 6,538.70 : x
  2. Step 2: Convert to fraction form
    6,944.52/10,416.76 = 6,538.70/x
  3. Step 3: Cross multiply
    6,944.52x = 10,416.76 × 6,538.70
  4. Step 4: Simplify right side
    6,944.52x = 68,112,068.61
  5. Step 5: Solve for x
    x = 68,112,068.61/6,944.52
  6. Step 6: Final answer
    x = 9,808.03

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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.