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Finding the Fourth Proportional to 10,295.62, 14,208.24 and 5,819.28

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Solution

The fourth proportional to 10,295.62, 14,208.24 and 5,819.28 is: 8,030.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.62 : 14,208.24 = 5,819.28 : x
  2. Step 2: Convert to fraction form
    10,295.62/14,208.24 = 5,819.28/x
  3. Step 3: Cross multiply
    10,295.62x = 14,208.24 × 5,819.28
  4. Step 4: Simplify right side
    10,295.62x = 82,681,726.87
  5. Step 5: Solve for x
    x = 82,681,726.87/10,295.62
  6. Step 6: Final answer
    x = 8,030.77

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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.