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Finding the Fourth Proportional to 8,386.25, 11,573.07 and 4,660.25

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Solution

The fourth proportional to 8,386.25, 11,573.07 and 4,660.25 is: 6,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.25 : 11,573.07 = 4,660.25 : x
  2. Step 2: Convert to fraction form
    8,386.25/11,573.07 = 4,660.25/x
  3. Step 3: Cross multiply
    8,386.25x = 11,573.07 × 4,660.25
  4. Step 4: Simplify right side
    8,386.25x = 53,933,399.47
  5. Step 5: Solve for x
    x = 53,933,399.47/8,386.25
  6. Step 6: Final answer
    x = 6,431.17

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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.