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Finding the Fourth Proportional to 7,798.28, 11,706.72 and 6,156.08

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Solution

The fourth proportional to 7,798.28, 11,706.72 and 6,156.08 is: 9,241.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.28 : 11,706.72 = 6,156.08 : x
  2. Step 2: Convert to fraction form
    7,798.28/11,706.72 = 6,156.08/x
  3. Step 3: Cross multiply
    7,798.28x = 11,706.72 × 6,156.08
  4. Step 4: Simplify right side
    7,798.28x = 72,067,504.86
  5. Step 5: Solve for x
    x = 72,067,504.86/7,798.28
  6. Step 6: Final answer
    x = 9,241.46

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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.