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Finding the Fourth Proportional to 5,461.53, 8,193.10 and 1,763.07

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Solution

The fourth proportional to 5,461.53, 8,193.10 and 1,763.07 is: 2,644.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.53 : 8,193.10 = 1,763.07 : x
  2. Step 2: Convert to fraction form
    5,461.53/8,193.10 = 1,763.07/x
  3. Step 3: Cross multiply
    5,461.53x = 8,193.10 × 1,763.07
  4. Step 4: Simplify right side
    5,461.53x = 14,445,008.82
  5. Step 5: Solve for x
    x = 14,445,008.82/5,461.53
  6. Step 6: Final answer
    x = 2,644.86

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Half scale
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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.