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Finding the Fourth Proportional to 9,703.86, 14,563.11 and 7,779.30

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Solution

The fourth proportional to 9,703.86, 14,563.11 and 7,779.30 is: 11,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.86 : 14,563.11 = 7,779.30 : x
  2. Step 2: Convert to fraction form
    9,703.86/14,563.11 = 7,779.30/x
  3. Step 3: Cross multiply
    9,703.86x = 14,563.11 × 7,779.30
  4. Step 4: Simplify right side
    9,703.86x = 113,290,801.62
  5. Step 5: Solve for x
    x = 113,290,801.62/9,703.86
  6. Step 6: Final answer
    x = 11,674.82

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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.