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Finding the Fourth Proportional to 9,415.85, 14,123.77 and 6,835.19

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Solution

The fourth proportional to 9,415.85, 14,123.77 and 6,835.19 is: 10,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.85 : 14,123.77 = 6,835.19 : x
  2. Step 2: Convert to fraction form
    9,415.85/14,123.77 = 6,835.19/x
  3. Step 3: Cross multiply
    9,415.85x = 14,123.77 × 6,835.19
  4. Step 4: Simplify right side
    9,415.85x = 96,538,563.76
  5. Step 5: Solve for x
    x = 96,538,563.76/9,415.85
  6. Step 6: Final answer
    x = 10,252.78

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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.