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Finding the Fourth Proportional to 10,534.88, 14,538.84 and 5,819.60

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Solution

The fourth proportional to 10,534.88, 14,538.84 and 5,819.60 is: 8,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.88 : 14,538.84 = 5,819.60 : x
  2. Step 2: Convert to fraction form
    10,534.88/14,538.84 = 5,819.60/x
  3. Step 3: Cross multiply
    10,534.88x = 14,538.84 × 5,819.60
  4. Step 4: Simplify right side
    10,534.88x = 84,610,233.26
  5. Step 5: Solve for x
    x = 84,610,233.26/10,534.88
  6. Step 6: Final answer
    x = 8,031.44

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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.