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Finding the Fourth Proportional to 9,928.48, 13,701.48 and 5,452.42

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Solution

The fourth proportional to 9,928.48, 13,701.48 and 5,452.42 is: 7,524.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.48 : 13,701.48 = 5,452.42 : x
  2. Step 2: Convert to fraction form
    9,928.48/13,701.48 = 5,452.42/x
  3. Step 3: Cross multiply
    9,928.48x = 13,701.48 × 5,452.42
  4. Step 4: Simplify right side
    9,928.48x = 74,706,223.58
  5. Step 5: Solve for x
    x = 74,706,223.58/9,928.48
  6. Step 6: Final answer
    x = 7,524.44

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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.