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Finding the Fourth Proportional to 7,448.52, 11,217.35 and 6,784.22

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Solution

The fourth proportional to 7,448.52, 11,217.35 and 6,784.22 is: 10,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.52 : 11,217.35 = 6,784.22 : x
  2. Step 2: Convert to fraction form
    7,448.52/11,217.35 = 6,784.22/x
  3. Step 3: Cross multiply
    7,448.52x = 11,217.35 × 6,784.22
  4. Step 4: Simplify right side
    7,448.52x = 76,101,015.22
  5. Step 5: Solve for x
    x = 76,101,015.22/7,448.52
  6. Step 6: Final answer
    x = 10,216.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.