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Finding the Fourth Proportional to 15,092.77, 20,827.03 and 8,378.07

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Solution

The fourth proportional to 15,092.77, 20,827.03 and 8,378.07 is: 11,561.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.77 : 20,827.03 = 8,378.07 : x
  2. Step 2: Convert to fraction form
    15,092.77/20,827.03 = 8,378.07/x
  3. Step 3: Cross multiply
    15,092.77x = 20,827.03 × 8,378.07
  4. Step 4: Simplify right side
    15,092.77x = 174,490,315.23
  5. Step 5: Solve for x
    x = 174,490,315.23/15,092.77
  6. Step 6: Final answer
    x = 11,561.19

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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.