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Finding the Fourth Proportional to 8,584.44, 12,864.42 and 5,075.16

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Solution

The fourth proportional to 8,584.44, 12,864.42 and 5,075.16 is: 7,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.44 : 12,864.42 = 5,075.16 : x
  2. Step 2: Convert to fraction form
    8,584.44/12,864.42 = 5,075.16/x
  3. Step 3: Cross multiply
    8,584.44x = 12,864.42 × 5,075.16
  4. Step 4: Simplify right side
    8,584.44x = 65,288,989.81
  5. Step 5: Solve for x
    x = 65,288,989.81/8,584.44
  6. Step 6: Final answer
    x = 7,605.50

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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.