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Finding the Fourth Proportional to 7,779.86, 10,736.14 and 4,242.99

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Solution

The fourth proportional to 7,779.86, 10,736.14 and 4,242.99 is: 5,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.86 : 10,736.14 = 4,242.99 : x
  2. Step 2: Convert to fraction form
    7,779.86/10,736.14 = 4,242.99/x
  3. Step 3: Cross multiply
    7,779.86x = 10,736.14 × 4,242.99
  4. Step 4: Simplify right side
    7,779.86x = 45,553,313.44
  5. Step 5: Solve for x
    x = 45,553,313.44/7,779.86
  6. Step 6: Final answer
    x = 5,855.29

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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.