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Finding the Fourth Proportional to 9,791.28, 14,678.64 and 4,854.24

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Solution

The fourth proportional to 9,791.28, 14,678.64 and 4,854.24 is: 7,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.28 : 14,678.64 = 4,854.24 : x
  2. Step 2: Convert to fraction form
    9,791.28/14,678.64 = 4,854.24/x
  3. Step 3: Cross multiply
    9,791.28x = 14,678.64 × 4,854.24
  4. Step 4: Simplify right side
    9,791.28x = 71,253,641.43
  5. Step 5: Solve for x
    x = 71,253,641.43/9,791.28
  6. Step 6: Final answer
    x = 7,277.26

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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.