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Finding the Fourth Proportional to 9,909.76, 13,675.03 and 5,933.06

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Solution

The fourth proportional to 9,909.76, 13,675.03 and 5,933.06 is: 8,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.76 : 13,675.03 = 5,933.06 : x
  2. Step 2: Convert to fraction form
    9,909.76/13,675.03 = 5,933.06/x
  3. Step 3: Cross multiply
    9,909.76x = 13,675.03 × 5,933.06
  4. Step 4: Simplify right side
    9,909.76x = 81,134,818.49
  5. Step 5: Solve for x
    x = 81,134,818.49/9,909.76
  6. Step 6: Final answer
    x = 8,187.37

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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.