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Finding the Fourth Proportional to 6,526.28, 9,797.52 and 4,771.28

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Solution

The fourth proportional to 6,526.28, 9,797.52 and 4,771.28 is: 7,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.28 : 9,797.52 = 4,771.28 : x
  2. Step 2: Convert to fraction form
    6,526.28/9,797.52 = 4,771.28/x
  3. Step 3: Cross multiply
    6,526.28x = 9,797.52 × 4,771.28
  4. Step 4: Simplify right side
    6,526.28x = 46,746,711.23
  5. Step 5: Solve for x
    x = 46,746,711.23/6,526.28
  6. Step 6: Final answer
    x = 7,162.84

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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.