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Finding the Fourth Proportional to 6,574.68, 9,075.78 and 4,893.12

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Solution

The fourth proportional to 6,574.68, 9,075.78 and 4,893.12 is: 6,754.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.68 : 9,075.78 = 4,893.12 : x
  2. Step 2: Convert to fraction form
    6,574.68/9,075.78 = 4,893.12/x
  3. Step 3: Cross multiply
    6,574.68x = 9,075.78 × 4,893.12
  4. Step 4: Simplify right side
    6,574.68x = 44,408,880.63
  5. Step 5: Solve for x
    x = 44,408,880.63/6,574.68
  6. Step 6: Final answer
    x = 6,754.53

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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.