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Finding the Fourth Proportional to 13,658.64, 20,478.24 and 6,534.69

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Solution

The fourth proportional to 13,658.64, 20,478.24 and 6,534.69 is: 9,797.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,658.64 : 20,478.24 = 6,534.69 : x
  2. Step 2: Convert to fraction form
    13,658.64/20,478.24 = 6,534.69/x
  3. Step 3: Cross multiply
    13,658.64x = 20,478.24 × 6,534.69
  4. Step 4: Simplify right side
    13,658.64x = 133,818,950.15
  5. Step 5: Solve for x
    x = 133,818,950.15/13,658.64
  6. Step 6: Final answer
    x = 9,797.38

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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.