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Finding the Fourth Proportional to 6,452.36, 9,634.72 and 6,277.40

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Solution

The fourth proportional to 6,452.36, 9,634.72 and 6,277.40 is: 9,373.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.36 : 9,634.72 = 6,277.40 : x
  2. Step 2: Convert to fraction form
    6,452.36/9,634.72 = 6,277.40/x
  3. Step 3: Cross multiply
    6,452.36x = 9,634.72 × 6,277.40
  4. Step 4: Simplify right side
    6,452.36x = 60,480,991.33
  5. Step 5: Solve for x
    x = 60,480,991.33/6,452.36
  6. Step 6: Final answer
    x = 9,373.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.