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Finding the Fourth Proportional to 9,295.28, 13,930.80 and 5,962.16

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Solution

The fourth proportional to 9,295.28, 13,930.80 and 5,962.16 is: 8,935.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.28 : 13,930.80 = 5,962.16 : x
  2. Step 2: Convert to fraction form
    9,295.28/13,930.80 = 5,962.16/x
  3. Step 3: Cross multiply
    9,295.28x = 13,930.80 × 5,962.16
  4. Step 4: Simplify right side
    9,295.28x = 83,057,658.53
  5. Step 5: Solve for x
    x = 83,057,658.53/9,295.28
  6. Step 6: Final answer
    x = 8,935.47

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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.