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Finding the Fourth Proportional to 12,075.84, 18,117 and 5,053.68

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Solution

The fourth proportional to 12,075.84, 18,117 and 5,053.68 is: 7,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.84 : 18,117 = 5,053.68 : x
  2. Step 2: Convert to fraction form
    12,075.84/18,117 = 5,053.68/x
  3. Step 3: Cross multiply
    12,075.84x = 18,117 × 5,053.68
  4. Step 4: Simplify right side
    12,075.84x = 91,557,520.56
  5. Step 5: Solve for x
    x = 91,557,520.56/12,075.84
  6. Step 6: Final answer
    x = 7,581.88

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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.