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Finding the Fourth Proportional to 15,077.22, 20,809.05 and 8,365

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Solution

The fourth proportional to 15,077.22, 20,809.05 and 8,365 is: 11,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,077.22 : 20,809.05 = 8,365 : x
  2. Step 2: Convert to fraction form
    15,077.22/20,809.05 = 8,365/x
  3. Step 3: Cross multiply
    15,077.22x = 20,809.05 × 8,365
  4. Step 4: Simplify right side
    15,077.22x = 174,067,661.43
  5. Step 5: Solve for x
    x = 174,067,661.43/15,077.22
  6. Step 6: Final answer
    x = 11,545.08

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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.