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Finding the Fourth Proportional to 9,053.84, 12,494.64 and 5,075.03

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Solution

The fourth proportional to 9,053.84, 12,494.64 and 5,075.03 is: 7,003.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,053.84 : 12,494.64 = 5,075.03 : x
  2. Step 2: Convert to fraction form
    9,053.84/12,494.64 = 5,075.03/x
  3. Step 3: Cross multiply
    9,053.84x = 12,494.64 × 5,075.03
  4. Step 4: Simplify right side
    9,053.84x = 63,410,672.84
  5. Step 5: Solve for x
    x = 63,410,672.84/9,053.84
  6. Step 6: Final answer
    x = 7,003.73

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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.