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Finding the Fourth Proportional to 15,109.62, 22,656.62 and 6,782.48

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Solution

The fourth proportional to 15,109.62, 22,656.62 and 6,782.48 is: 10,170.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,109.62 : 22,656.62 = 6,782.48 : x
  2. Step 2: Convert to fraction form
    15,109.62/22,656.62 = 6,782.48/x
  3. Step 3: Cross multiply
    15,109.62x = 22,656.62 × 6,782.48
  4. Step 4: Simplify right side
    15,109.62x = 153,668,072.02
  5. Step 5: Solve for x
    x = 153,668,072.02/15,109.62
  6. Step 6: Final answer
    x = 10,170.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.