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Finding the Fourth Proportional to 5,461.98, 8,193.72 and 1,762.98

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Solution

The fourth proportional to 5,461.98, 8,193.72 and 1,762.98 is: 2,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.98 : 8,193.72 = 1,762.98 : x
  2. Step 2: Convert to fraction form
    5,461.98/8,193.72 = 1,762.98/x
  3. Step 3: Cross multiply
    5,461.98x = 8,193.72 × 1,762.98
  4. Step 4: Simplify right side
    5,461.98x = 14,445,364.49
  5. Step 5: Solve for x
    x = 14,445,364.49/5,461.98
  6. Step 6: Final answer
    x = 2,644.71

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Half scale
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Double scale
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Similar ratio
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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.