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Finding the Fourth Proportional to 6,434.92, 9,651.84 and 2,972.16

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Solution

The fourth proportional to 6,434.92, 9,651.84 and 2,972.16 is: 4,457.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.92 : 9,651.84 = 2,972.16 : x
  2. Step 2: Convert to fraction form
    6,434.92/9,651.84 = 2,972.16/x
  3. Step 3: Cross multiply
    6,434.92x = 9,651.84 × 2,972.16
  4. Step 4: Simplify right side
    6,434.92x = 28,686,812.77
  5. Step 5: Solve for x
    x = 28,686,812.77/6,434.92
  6. Step 6: Final answer
    x = 4,457.99

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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.