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Finding the Fourth Proportional to 15,080, 20,810.42 and 8,365.40

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Solution

The fourth proportional to 15,080, 20,810.42 and 8,365.40 is: 11,544.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,080 : 20,810.42 = 8,365.40 : x
  2. Step 2: Convert to fraction form
    15,080/20,810.42 = 8,365.40/x
  3. Step 3: Cross multiply
    15,080x = 20,810.42 × 8,365.40
  4. Step 4: Simplify right side
    15,080x = 174,087,487.47
  5. Step 5: Solve for x
    x = 174,087,487.47/15,080
  6. Step 6: Final answer
    x = 11,544.26

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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.