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Finding the Fourth Proportional to 9,777.04, 14,666.42 and 2,757.11

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Solution

The fourth proportional to 9,777.04, 14,666.42 and 2,757.11 is: 4,135.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.04 : 14,666.42 = 2,757.11 : x
  2. Step 2: Convert to fraction form
    9,777.04/14,666.42 = 2,757.11/x
  3. Step 3: Cross multiply
    9,777.04x = 14,666.42 × 2,757.11
  4. Step 4: Simplify right side
    9,777.04x = 40,436,866.81
  5. Step 5: Solve for x
    x = 40,436,866.81/9,777.04
  6. Step 6: Final answer
    x = 4,135.90

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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.