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Finding the Fourth Proportional to 6,385.66, 9,578.50 and 1,705.70

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Solution

The fourth proportional to 6,385.66, 9,578.50 and 1,705.70 is: 2,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.66 : 9,578.50 = 1,705.70 : x
  2. Step 2: Convert to fraction form
    6,385.66/9,578.50 = 1,705.70/x
  3. Step 3: Cross multiply
    6,385.66x = 9,578.50 × 1,705.70
  4. Step 4: Simplify right side
    6,385.66x = 16,338,047.45
  5. Step 5: Solve for x
    x = 16,338,047.45/6,385.66
  6. Step 6: Final answer
    x = 2,558.55

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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.