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Finding the Fourth Proportional to 7,703.96, 11,554.80 and 2,156.95

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Solution

The fourth proportional to 7,703.96, 11,554.80 and 2,156.95 is: 3,235.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.96 : 11,554.80 = 2,156.95 : x
  2. Step 2: Convert to fraction form
    7,703.96/11,554.80 = 2,156.95/x
  3. Step 3: Cross multiply
    7,703.96x = 11,554.80 × 2,156.95
  4. Step 4: Simplify right side
    7,703.96x = 24,923,120.47
  5. Step 5: Solve for x
    x = 24,923,120.47/7,703.96
  6. Step 6: Final answer
    x = 3,235.11

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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.