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Finding the Fourth Proportional to 6,472.59, 9,700.74 and 2,770.44

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Solution

The fourth proportional to 6,472.59, 9,700.74 and 2,770.44 is: 4,152.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.59 : 9,700.74 = 2,770.44 : x
  2. Step 2: Convert to fraction form
    6,472.59/9,700.74 = 2,770.44/x
  3. Step 3: Cross multiply
    6,472.59x = 9,700.74 × 2,770.44
  4. Step 4: Simplify right side
    6,472.59x = 26,875,318.13
  5. Step 5: Solve for x
    x = 26,875,318.13/6,472.59
  6. Step 6: Final answer
    x = 4,152.17

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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.