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Finding the Fourth Proportional to 11,646.35, 16,071.53 and 6,341.05

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Solution

The fourth proportional to 11,646.35, 16,071.53 and 6,341.05 is: 8,750.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.35 : 16,071.53 = 6,341.05 : x
  2. Step 2: Convert to fraction form
    11,646.35/16,071.53 = 6,341.05/x
  3. Step 3: Cross multiply
    11,646.35x = 16,071.53 × 6,341.05
  4. Step 4: Simplify right side
    11,646.35x = 101,910,375.31
  5. Step 5: Solve for x
    x = 101,910,375.31/11,646.35
  6. Step 6: Final answer
    x = 8,750.41

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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.