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Finding the Fourth Proportional to 10,059.68, 13,850.80 and 8,544.15

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Solution

The fourth proportional to 10,059.68, 13,850.80 and 8,544.15 is: 11,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.68 : 13,850.80 = 8,544.15 : x
  2. Step 2: Convert to fraction form
    10,059.68/13,850.80 = 8,544.15/x
  3. Step 3: Cross multiply
    10,059.68x = 13,850.80 × 8,544.15
  4. Step 4: Simplify right side
    10,059.68x = 118,343,291.46
  5. Step 5: Solve for x
    x = 118,343,291.46/10,059.68
  6. Step 6: Final answer
    x = 11,764.12

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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.