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Finding the Fourth Proportional to 10,522.70, 14,521.21 and 5,806.90

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Solution

The fourth proportional to 10,522.70, 14,521.21 and 5,806.90 is: 8,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.70 : 14,521.21 = 5,806.90 : x
  2. Step 2: Convert to fraction form
    10,522.70/14,521.21 = 5,806.90/x
  3. Step 3: Cross multiply
    10,522.70x = 14,521.21 × 5,806.90
  4. Step 4: Simplify right side
    10,522.70x = 84,323,214.35
  5. Step 5: Solve for x
    x = 84,323,214.35/10,522.70
  6. Step 6: Final answer
    x = 8,013.46

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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.