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Finding the Fourth Proportional to 6,302.54, 9,459.64 and 3,184.74

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Solution

The fourth proportional to 6,302.54, 9,459.64 and 3,184.74 is: 4,780.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.54 : 9,459.64 = 3,184.74 : x
  2. Step 2: Convert to fraction form
    6,302.54/9,459.64 = 3,184.74/x
  3. Step 3: Cross multiply
    6,302.54x = 9,459.64 × 3,184.74
  4. Step 4: Simplify right side
    6,302.54x = 30,126,446.60
  5. Step 5: Solve for x
    x = 30,126,446.60/6,302.54
  6. Step 6: Final answer
    x = 4,780.05

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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.