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Finding the Fourth Proportional to 12,597.94, 17,386.14 and 8,624.44

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Solution

The fourth proportional to 12,597.94, 17,386.14 and 8,624.44 is: 11,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.94 : 17,386.14 = 8,624.44 : x
  2. Step 2: Convert to fraction form
    12,597.94/17,386.14 = 8,624.44/x
  3. Step 3: Cross multiply
    12,597.94x = 17,386.14 × 8,624.44
  4. Step 4: Simplify right side
    12,597.94x = 149,945,721.26
  5. Step 5: Solve for x
    x = 149,945,721.26/12,597.94
  6. Step 6: Final answer
    x = 11,902.40

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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.