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Finding the Fourth Proportional to 10,577.70, 14,598.09 and 5,863.50

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Solution

The fourth proportional to 10,577.70, 14,598.09 and 5,863.50 is: 8,092.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.70 : 14,598.09 = 5,863.50 : x
  2. Step 2: Convert to fraction form
    10,577.70/14,598.09 = 5,863.50/x
  3. Step 3: Cross multiply
    10,577.70x = 14,598.09 × 5,863.50
  4. Step 4: Simplify right side
    10,577.70x = 85,595,900.72
  5. Step 5: Solve for x
    x = 85,595,900.72/10,577.70
  6. Step 6: Final answer
    x = 8,092.11

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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.