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Finding the Fourth Proportional to 15,099.61, 20,838 and 8,385.35

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Solution

The fourth proportional to 15,099.61, 20,838 and 8,385.35 is: 11,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,099.61 : 20,838 = 8,385.35 : x
  2. Step 2: Convert to fraction form
    15,099.61/20,838 = 8,385.35/x
  3. Step 3: Cross multiply
    15,099.61x = 20,838 × 8,385.35
  4. Step 4: Simplify right side
    15,099.61x = 174,733,923.30
  5. Step 5: Solve for x
    x = 174,733,923.30/15,099.61
  6. Step 6: Final answer
    x = 11,572.08

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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.