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Finding the Fourth Proportional to 12,594.24, 17,385.84 and 9,237.24

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Solution

The fourth proportional to 12,594.24, 17,385.84 and 9,237.24 is: 12,751.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,594.24 : 17,385.84 = 9,237.24 : x
  2. Step 2: Convert to fraction form
    12,594.24/17,385.84 = 9,237.24/x
  3. Step 3: Cross multiply
    12,594.24x = 17,385.84 × 9,237.24
  4. Step 4: Simplify right side
    12,594.24x = 160,597,176.68
  5. Step 5: Solve for x
    x = 160,597,176.68/12,594.24
  6. Step 6: Final answer
    x = 12,751.64

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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.