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Finding the Fourth Proportional to 11,633.76, 16,058.25 and 7,854.30

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Solution

The fourth proportional to 11,633.76, 16,058.25 and 7,854.30 is: 10,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,633.76 : 16,058.25 = 7,854.30 : x
  2. Step 2: Convert to fraction form
    11,633.76/16,058.25 = 7,854.30/x
  3. Step 3: Cross multiply
    11,633.76x = 16,058.25 × 7,854.30
  4. Step 4: Simplify right side
    11,633.76x = 126,126,312.98
  5. Step 5: Solve for x
    x = 126,126,312.98/11,633.76
  6. Step 6: Final answer
    x = 10,841.41

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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.