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Finding the Fourth Proportional to 6,302.79, 9,460.02 and 3,184.98

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Solution

The fourth proportional to 6,302.79, 9,460.02 and 3,184.98 is: 4,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.79 : 9,460.02 = 3,184.98 : x
  2. Step 2: Convert to fraction form
    6,302.79/9,460.02 = 3,184.98/x
  3. Step 3: Cross multiply
    6,302.79x = 9,460.02 × 3,184.98
  4. Step 4: Simplify right side
    6,302.79x = 30,129,974.50
  5. Step 5: Solve for x
    x = 30,129,974.50/6,302.79
  6. Step 6: Final answer
    x = 4,780.42

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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.