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Finding the Fourth Proportional to 7,703.91, 11,548.58 and 3,803.76

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Solution

The fourth proportional to 7,703.91, 11,548.58 and 3,803.76 is: 5,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.91 : 11,548.58 = 3,803.76 : x
  2. Step 2: Convert to fraction form
    7,703.91/11,548.58 = 3,803.76/x
  3. Step 3: Cross multiply
    7,703.91x = 11,548.58 × 3,803.76
  4. Step 4: Simplify right side
    7,703.91x = 43,928,007.64
  5. Step 5: Solve for x
    x = 43,928,007.64/7,703.91
  6. Step 6: Final answer
    x = 5,702.04

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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.