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Finding the Fourth Proportional to 9,483.13, 13,084.09 and 6,126.09

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Solution

The fourth proportional to 9,483.13, 13,084.09 and 6,126.09 is: 8,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.13 : 13,084.09 = 6,126.09 : x
  2. Step 2: Convert to fraction form
    9,483.13/13,084.09 = 6,126.09/x
  3. Step 3: Cross multiply
    9,483.13x = 13,084.09 × 6,126.09
  4. Step 4: Simplify right side
    9,483.13x = 80,154,312.91
  5. Step 5: Solve for x
    x = 80,154,312.91/9,483.13
  6. Step 6: Final answer
    x = 8,452.31

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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.