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Finding the Fourth Proportional to 9,389.78, 12,958.08 and 5,410.22

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Solution

The fourth proportional to 9,389.78, 12,958.08 and 5,410.22 is: 7,466.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.78 : 12,958.08 = 5,410.22 : x
  2. Step 2: Convert to fraction form
    9,389.78/12,958.08 = 5,410.22/x
  3. Step 3: Cross multiply
    9,389.78x = 12,958.08 × 5,410.22
  4. Step 4: Simplify right side
    9,389.78x = 70,106,063.58
  5. Step 5: Solve for x
    x = 70,106,063.58/9,389.78
  6. Step 6: Final answer
    x = 7,466.21

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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.