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Finding the Fourth Proportional to 9,782.80, 14,666.10 and 5,165.80

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Solution

The fourth proportional to 9,782.80, 14,666.10 and 5,165.80 is: 7,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.80 : 14,666.10 = 5,165.80 : x
  2. Step 2: Convert to fraction form
    9,782.80/14,666.10 = 5,165.80/x
  3. Step 3: Cross multiply
    9,782.80x = 14,666.10 × 5,165.80
  4. Step 4: Simplify right side
    9,782.80x = 75,762,139.38
  5. Step 5: Solve for x
    x = 75,762,139.38/9,782.80
  6. Step 6: Final answer
    x = 7,744.42

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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.