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Finding the Fourth Proportional to 9,075.36, 13,617.96 and 8,414.40

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Solution

The fourth proportional to 9,075.36, 13,617.96 and 8,414.40 is: 12,626.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,075.36 : 13,617.96 = 8,414.40 : x
  2. Step 2: Convert to fraction form
    9,075.36/13,617.96 = 8,414.40/x
  3. Step 3: Cross multiply
    9,075.36x = 13,617.96 × 8,414.40
  4. Step 4: Simplify right side
    9,075.36x = 114,586,962.62
  5. Step 5: Solve for x
    x = 114,586,962.62/9,075.36
  6. Step 6: Final answer
    x = 12,626.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.