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Finding the Fourth Proportional to 5,463.16, 8,196.16 and 1,765.92

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Solution

The fourth proportional to 5,463.16, 8,196.16 and 1,765.92 is: 2,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.16 : 8,196.16 = 1,765.92 : x
  2. Step 2: Convert to fraction form
    5,463.16/8,196.16 = 1,765.92/x
  3. Step 3: Cross multiply
    5,463.16x = 8,196.16 × 1,765.92
  4. Step 4: Simplify right side
    5,463.16x = 14,473,762.87
  5. Step 5: Solve for x
    x = 14,473,762.87/5,463.16
  6. Step 6: Final answer
    x = 2,649.34

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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.