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Finding the Fourth Proportional to 10,436, 14,401.68 and 6,020

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Solution

The fourth proportional to 10,436, 14,401.68 and 6,020 is: 8,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,436 : 14,401.68 = 6,020 : x
  2. Step 2: Convert to fraction form
    10,436/14,401.68 = 6,020/x
  3. Step 3: Cross multiply
    10,436x = 14,401.68 × 6,020
  4. Step 4: Simplify right side
    10,436x = 86,698,113.60
  5. Step 5: Solve for x
    x = 86,698,113.60/10,436
  6. Step 6: Final answer
    x = 8,307.60

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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.