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Finding the Fourth Proportional to 9,703.86, 14,555.82 and 3,860.44

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Solution

The fourth proportional to 9,703.86, 14,555.82 and 3,860.44 is: 5,790.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.86 : 14,555.82 = 3,860.44 : x
  2. Step 2: Convert to fraction form
    9,703.86/14,555.82 = 3,860.44/x
  3. Step 3: Cross multiply
    9,703.86x = 14,555.82 × 3,860.44
  4. Step 4: Simplify right side
    9,703.86x = 56,191,869.76
  5. Step 5: Solve for x
    x = 56,191,869.76/9,703.86
  6. Step 6: Final answer
    x = 5,790.67

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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.