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Finding the Fourth Proportional to 10,597.95, 14,625.09 and 5,882.23

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Solution

The fourth proportional to 10,597.95, 14,625.09 and 5,882.23 is: 8,117.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,597.95 : 14,625.09 = 5,882.23 : x
  2. Step 2: Convert to fraction form
    10,597.95/14,625.09 = 5,882.23/x
  3. Step 3: Cross multiply
    10,597.95x = 14,625.09 × 5,882.23
  4. Step 4: Simplify right side
    10,597.95x = 86,028,143.15
  5. Step 5: Solve for x
    x = 86,028,143.15/10,597.95
  6. Step 6: Final answer
    x = 8,117.43

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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.