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Finding the Fourth Proportional to 9,709.58, 14,542.17 and 5,805.98

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Solution

The fourth proportional to 9,709.58, 14,542.17 and 5,805.98 is: 8,695.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.58 : 14,542.17 = 5,805.98 : x
  2. Step 2: Convert to fraction form
    9,709.58/14,542.17 = 5,805.98/x
  3. Step 3: Cross multiply
    9,709.58x = 14,542.17 × 5,805.98
  4. Step 4: Simplify right side
    9,709.58x = 84,431,548.18
  5. Step 5: Solve for x
    x = 84,431,548.18/9,709.58
  6. Step 6: Final answer
    x = 8,695.70

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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.