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Finding the Fourth Proportional to 8,381.25, 11,566.14 and 4,655.25

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Solution

The fourth proportional to 8,381.25, 11,566.14 and 4,655.25 is: 6,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.25 : 11,566.14 = 4,655.25 : x
  2. Step 2: Convert to fraction form
    8,381.25/11,566.14 = 4,655.25/x
  3. Step 3: Cross multiply
    8,381.25x = 11,566.14 × 4,655.25
  4. Step 4: Simplify right side
    8,381.25x = 53,843,273.24
  5. Step 5: Solve for x
    x = 53,843,273.24/8,381.25
  6. Step 6: Final answer
    x = 6,424.25

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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.