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Finding the Fourth Proportional to 6,456.97, 9,673.10 and 4,366.70

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Solution

The fourth proportional to 6,456.97, 9,673.10 and 4,366.70 is: 6,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.97 : 9,673.10 = 4,366.70 : x
  2. Step 2: Convert to fraction form
    6,456.97/9,673.10 = 4,366.70/x
  3. Step 3: Cross multiply
    6,456.97x = 9,673.10 × 4,366.70
  4. Step 4: Simplify right side
    6,456.97x = 42,239,544.49
  5. Step 5: Solve for x
    x = 42,239,544.49/6,456.97
  6. Step 6: Final answer
    x = 6,541.70

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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.