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Finding the Fourth Proportional to 6,451.70, 9,677.35 and 1,834.70

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Solution

The fourth proportional to 6,451.70, 9,677.35 and 1,834.70 is: 2,752.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.70 : 9,677.35 = 1,834.70 : x
  2. Step 2: Convert to fraction form
    6,451.70/9,677.35 = 1,834.70/x
  3. Step 3: Cross multiply
    6,451.70x = 9,677.35 × 1,834.70
  4. Step 4: Simplify right side
    6,451.70x = 17,755,053.65
  5. Step 5: Solve for x
    x = 17,755,053.65/6,451.70
  6. Step 6: Final answer
    x = 2,752.00

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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.