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Finding the Fourth Proportional to 10,006.98, 13,835.88 and 8,327.76

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Solution

The fourth proportional to 10,006.98, 13,835.88 and 8,327.76 is: 11,514.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.98 : 13,835.88 = 8,327.76 : x
  2. Step 2: Convert to fraction form
    10,006.98/13,835.88 = 8,327.76/x
  3. Step 3: Cross multiply
    10,006.98x = 13,835.88 × 8,327.76
  4. Step 4: Simplify right side
    10,006.98x = 115,221,888.03
  5. Step 5: Solve for x
    x = 115,221,888.03/10,006.98
  6. Step 6: Final answer
    x = 11,514.15

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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.