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Finding the Fourth Proportional to 10,523.88, 14,522.76 and 5,808.24

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Solution

The fourth proportional to 10,523.88, 14,522.76 and 5,808.24 is: 8,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.88 : 14,522.76 = 5,808.24 : x
  2. Step 2: Convert to fraction form
    10,523.88/14,522.76 = 5,808.24/x
  3. Step 3: Cross multiply
    10,523.88x = 14,522.76 × 5,808.24
  4. Step 4: Simplify right side
    10,523.88x = 84,351,675.54
  5. Step 5: Solve for x
    x = 84,351,675.54/10,523.88
  6. Step 6: Final answer
    x = 8,015.26

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Half scale
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Double scale
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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.