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Finding the Fourth Proportional to 10,764.88, 14,855.12 and 5,985.11

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Solution

The fourth proportional to 10,764.88, 14,855.12 and 5,985.11 is: 8,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,764.88 : 14,855.12 = 5,985.11 : x
  2. Step 2: Convert to fraction form
    10,764.88/14,855.12 = 5,985.11/x
  3. Step 3: Cross multiply
    10,764.88x = 14,855.12 × 5,985.11
  4. Step 4: Simplify right side
    10,764.88x = 88,909,527.26
  5. Step 5: Solve for x
    x = 88,909,527.26/10,764.88
  6. Step 6: Final answer
    x = 8,259.22

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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.