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Finding the Fourth Proportional to 7,013.42, 9,674.25 and 4,178.93

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Solution

The fourth proportional to 7,013.42, 9,674.25 and 4,178.93 is: 5,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.42 : 9,674.25 = 4,178.93 : x
  2. Step 2: Convert to fraction form
    7,013.42/9,674.25 = 4,178.93/x
  3. Step 3: Cross multiply
    7,013.42x = 9,674.25 × 4,178.93
  4. Step 4: Simplify right side
    7,013.42x = 40,428,013.55
  5. Step 5: Solve for x
    x = 40,428,013.55/7,013.42
  6. Step 6: Final answer
    x = 5,764.38

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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.