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Finding the Fourth Proportional to 9,954.48, 13,742.42 and 6,784.56

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Solution

The fourth proportional to 9,954.48, 13,742.42 and 6,784.56 is: 9,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.48 : 13,742.42 = 6,784.56 : x
  2. Step 2: Convert to fraction form
    9,954.48/13,742.42 = 6,784.56/x
  3. Step 3: Cross multiply
    9,954.48x = 13,742.42 × 6,784.56
  4. Step 4: Simplify right side
    9,954.48x = 93,236,239.11
  5. Step 5: Solve for x
    x = 93,236,239.11/9,954.48
  6. Step 6: Final answer
    x = 9,366.26

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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.