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Finding the Fourth Proportional to 15,151.50, 20,909.74 and 8,436.86

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Solution

The fourth proportional to 15,151.50, 20,909.74 and 8,436.86 is: 11,643.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.50 : 20,909.74 = 8,436.86 : x
  2. Step 2: Convert to fraction form
    15,151.50/20,909.74 = 8,436.86/x
  3. Step 3: Cross multiply
    15,151.50x = 20,909.74 × 8,436.86
  4. Step 4: Simplify right side
    15,151.50x = 176,412,549.02
  5. Step 5: Solve for x
    x = 176,412,549.02/15,151.50
  6. Step 6: Final answer
    x = 11,643.24

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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.