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Finding the Fourth Proportional to 9,569, 13,200.74 and 6,776.04

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Solution

The fourth proportional to 9,569, 13,200.74 and 6,776.04 is: 9,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569 : 13,200.74 = 6,776.04 : x
  2. Step 2: Convert to fraction form
    9,569/13,200.74 = 6,776.04/x
  3. Step 3: Cross multiply
    9,569x = 13,200.74 × 6,776.04
  4. Step 4: Simplify right side
    9,569x = 89,448,742.27
  5. Step 5: Solve for x
    x = 89,448,742.27/9,569
  6. Step 6: Final answer
    x = 9,347.76

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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.