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Finding the Fourth Proportional to 9,295.28, 12,827.44 and 5,569.28

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Solution

The fourth proportional to 9,295.28, 12,827.44 and 5,569.28 is: 7,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.28 : 12,827.44 = 5,569.28 : x
  2. Step 2: Convert to fraction form
    9,295.28/12,827.44 = 5,569.28/x
  3. Step 3: Cross multiply
    9,295.28x = 12,827.44 × 5,569.28
  4. Step 4: Simplify right side
    9,295.28x = 71,439,605.04
  5. Step 5: Solve for x
    x = 71,439,605.04/9,295.28
  6. Step 6: Final answer
    x = 7,685.58

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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.