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Finding the Fourth Proportional to 4,464.40, 6,706.20 and 4,301.20

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Solution

The fourth proportional to 4,464.40, 6,706.20 and 4,301.20 is: 6,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,464.40 : 6,706.20 = 4,301.20 : x
  2. Step 2: Convert to fraction form
    4,464.40/6,706.20 = 4,301.20/x
  3. Step 3: Cross multiply
    4,464.40x = 6,706.20 × 4,301.20
  4. Step 4: Simplify right side
    4,464.40x = 28,844,707.44
  5. Step 5: Solve for x
    x = 28,844,707.44/4,464.40
  6. Step 6: Final answer
    x = 6,461.05

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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.