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Finding the Fourth Proportional to 10,578.96, 14,598.96 and 5,863.20

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Solution

The fourth proportional to 10,578.96, 14,598.96 and 5,863.20 is: 8,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.96 : 14,598.96 = 5,863.20 : x
  2. Step 2: Convert to fraction form
    10,578.96/14,598.96 = 5,863.20/x
  3. Step 3: Cross multiply
    10,578.96x = 14,598.96 × 5,863.20
  4. Step 4: Simplify right side
    10,578.96x = 85,596,622.27
  5. Step 5: Solve for x
    x = 85,596,622.27/10,578.96
  6. Step 6: Final answer
    x = 8,091.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.