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Finding the Fourth Proportional to 10,699.63, 14,765.45 and 5,983.90

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Solution

The fourth proportional to 10,699.63, 14,765.45 and 5,983.90 is: 8,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.63 : 14,765.45 = 5,983.90 : x
  2. Step 2: Convert to fraction form
    10,699.63/14,765.45 = 5,983.90/x
  3. Step 3: Cross multiply
    10,699.63x = 14,765.45 × 5,983.90
  4. Step 4: Simplify right side
    10,699.63x = 88,354,909.42
  5. Step 5: Solve for x
    x = 88,354,909.42/10,699.63
  6. Step 6: Final answer
    x = 8,257.76

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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.