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Finding the Fourth Proportional to 10,534.88, 14,536.85 and 5,819.19

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Solution

The fourth proportional to 10,534.88, 14,536.85 and 5,819.19 is: 8,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.88 : 14,536.85 = 5,819.19 : x
  2. Step 2: Convert to fraction form
    10,534.88/14,536.85 = 5,819.19/x
  3. Step 3: Cross multiply
    10,534.88x = 14,536.85 × 5,819.19
  4. Step 4: Simplify right side
    10,534.88x = 84,592,663.06
  5. Step 5: Solve for x
    x = 84,592,663.06/10,534.88
  6. Step 6: Final answer
    x = 8,029.77

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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.