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Finding the Fourth Proportional to 9,874.63, 13,627.13 and 5,398.64

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Solution

The fourth proportional to 9,874.63, 13,627.13 and 5,398.64 is: 7,450.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.63 : 13,627.13 = 5,398.64 : x
  2. Step 2: Convert to fraction form
    9,874.63/13,627.13 = 5,398.64/x
  3. Step 3: Cross multiply
    9,874.63x = 13,627.13 × 5,398.64
  4. Step 4: Simplify right side
    9,874.63x = 73,567,969.10
  5. Step 5: Solve for x
    x = 73,567,969.10/9,874.63
  6. Step 6: Final answer
    x = 7,450.20

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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.