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Finding the Fourth Proportional to 9,293.88, 13,924.62 and 7,743.84

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Solution

The fourth proportional to 9,293.88, 13,924.62 and 7,743.84 is: 11,602.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.88 : 13,924.62 = 7,743.84 : x
  2. Step 2: Convert to fraction form
    9,293.88/13,924.62 = 7,743.84/x
  3. Step 3: Cross multiply
    9,293.88x = 13,924.62 × 7,743.84
  4. Step 4: Simplify right side
    9,293.88x = 107,830,029.34
  5. Step 5: Solve for x
    x = 107,830,029.34/9,293.88
  6. Step 6: Final answer
    x = 11,602.26

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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.