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Finding the Fourth Proportional to 7,703.10, 11,554.65 and 2,156.63

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Solution

The fourth proportional to 7,703.10, 11,554.65 and 2,156.63 is: 3,234.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.10 : 11,554.65 = 2,156.63 : x
  2. Step 2: Convert to fraction form
    7,703.10/11,554.65 = 2,156.63/x
  3. Step 3: Cross multiply
    7,703.10x = 11,554.65 × 2,156.63
  4. Step 4: Simplify right side
    7,703.10x = 24,919,047.06
  5. Step 5: Solve for x
    x = 24,919,047.06/7,703.10
  6. Step 6: Final answer
    x = 3,234.94

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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.