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Finding the Fourth Proportional to 10,520.93, 14,518.86 and 5,805.20

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Solution

The fourth proportional to 10,520.93, 14,518.86 and 5,805.20 is: 8,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.93 : 14,518.86 = 5,805.20 : x
  2. Step 2: Convert to fraction form
    10,520.93/14,518.86 = 5,805.20/x
  3. Step 3: Cross multiply
    10,520.93x = 14,518.86 × 5,805.20
  4. Step 4: Simplify right side
    10,520.93x = 84,284,922.37
  5. Step 5: Solve for x
    x = 84,284,922.37/10,520.93
  6. Step 6: Final answer
    x = 8,011.17

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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.