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Finding the Fourth Proportional to 10,605.62, 14,636.22 and 5,890.34

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Solution

The fourth proportional to 10,605.62, 14,636.22 and 5,890.34 is: 8,128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.62 : 14,636.22 = 5,890.34 : x
  2. Step 2: Convert to fraction form
    10,605.62/14,636.22 = 5,890.34/x
  3. Step 3: Cross multiply
    10,605.62x = 14,636.22 × 5,890.34
  4. Step 4: Simplify right side
    10,605.62x = 86,212,312.11
  5. Step 5: Solve for x
    x = 86,212,312.11/10,605.62
  6. Step 6: Final answer
    x = 8,128.93

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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.