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Finding the Fourth Proportional to 12,075.51, 16,667.80 and 8,491.57

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Solution

The fourth proportional to 12,075.51, 16,667.80 and 8,491.57 is: 11,720.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.51 : 16,667.80 = 8,491.57 : x
  2. Step 2: Convert to fraction form
    12,075.51/16,667.80 = 8,491.57/x
  3. Step 3: Cross multiply
    12,075.51x = 16,667.80 × 8,491.57
  4. Step 4: Simplify right side
    12,075.51x = 141,535,664.65
  5. Step 5: Solve for x
    x = 141,535,664.65/12,075.51
  6. Step 6: Final answer
    x = 11,720.89

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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.