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Finding the Fourth Proportional to 9,699.37, 14,548.64 and 2,773.87

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Solution

The fourth proportional to 9,699.37, 14,548.64 and 2,773.87 is: 4,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.37 : 14,548.64 = 2,773.87 : x
  2. Step 2: Convert to fraction form
    9,699.37/14,548.64 = 2,773.87/x
  3. Step 3: Cross multiply
    9,699.37x = 14,548.64 × 2,773.87
  4. Step 4: Simplify right side
    9,699.37x = 40,355,985.80
  5. Step 5: Solve for x
    x = 40,355,985.80/9,699.37
  6. Step 6: Final answer
    x = 4,160.68

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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.