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Finding the Fourth Proportional to 6,477.66, 9,706.50 and 3,142.08

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Solution

The fourth proportional to 6,477.66, 9,706.50 and 3,142.08 is: 4,708.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.66 : 9,706.50 = 3,142.08 : x
  2. Step 2: Convert to fraction form
    6,477.66/9,706.50 = 3,142.08/x
  3. Step 3: Cross multiply
    6,477.66x = 9,706.50 × 3,142.08
  4. Step 4: Simplify right side
    6,477.66x = 30,498,599.52
  5. Step 5: Solve for x
    x = 30,498,599.52/6,477.66
  6. Step 6: Final answer
    x = 4,708.27

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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.