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Finding the Fourth Proportional to 9,205.68, 12,703.86 and 5,013.84

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Solution

The fourth proportional to 9,205.68, 12,703.86 and 5,013.84 is: 6,919.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.68 : 12,703.86 = 5,013.84 : x
  2. Step 2: Convert to fraction form
    9,205.68/12,703.86 = 5,013.84/x
  3. Step 3: Cross multiply
    9,205.68x = 12,703.86 × 5,013.84
  4. Step 4: Simplify right side
    9,205.68x = 63,695,121.42
  5. Step 5: Solve for x
    x = 63,695,121.42/9,205.68
  6. Step 6: Final answer
    x = 6,919.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.