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Finding the Fourth Proportional to 9,992.44, 13,791.58 and 5,746.47

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Solution

The fourth proportional to 9,992.44, 13,791.58 and 5,746.47 is: 7,931.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.44 : 13,791.58 = 5,746.47 : x
  2. Step 2: Convert to fraction form
    9,992.44/13,791.58 = 5,746.47/x
  3. Step 3: Cross multiply
    9,992.44x = 13,791.58 × 5,746.47
  4. Step 4: Simplify right side
    9,992.44x = 79,252,803.03
  5. Step 5: Solve for x
    x = 79,252,803.03/9,992.44
  6. Step 6: Final answer
    x = 7,931.28

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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.