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Finding the Fourth Proportional to 6,767.68, 10,075.16 and 6,675.34

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Solution

The fourth proportional to 6,767.68, 10,075.16 and 6,675.34 is: 9,937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.68 : 10,075.16 = 6,675.34 : x
  2. Step 2: Convert to fraction form
    6,767.68/10,075.16 = 6,675.34/x
  3. Step 3: Cross multiply
    6,767.68x = 10,075.16 × 6,675.34
  4. Step 4: Simplify right side
    6,767.68x = 67,255,118.55
  5. Step 5: Solve for x
    x = 67,255,118.55/6,767.68
  6. Step 6: Final answer
    x = 9,937.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.