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Finding the Fourth Proportional to 5,461.65, 8,193.29 and 1,763.19

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Solution

The fourth proportional to 5,461.65, 8,193.29 and 1,763.19 is: 2,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.65 : 8,193.29 = 1,763.19 : x
  2. Step 2: Convert to fraction form
    5,461.65/8,193.29 = 1,763.19/x
  3. Step 3: Cross multiply
    5,461.65x = 8,193.29 × 1,763.19
  4. Step 4: Simplify right side
    5,461.65x = 14,446,318.18
  5. Step 5: Solve for x
    x = 14,446,318.18/5,461.65
  6. Step 6: Final answer
    x = 2,645.05

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Double scale
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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.