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Finding the Fourth Proportional to 4,307.94, 6,461.94 and 1,967.46

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Solution

The fourth proportional to 4,307.94, 6,461.94 and 1,967.46 is: 2,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.94 : 6,461.94 = 1,967.46 : x
  2. Step 2: Convert to fraction form
    4,307.94/6,461.94 = 1,967.46/x
  3. Step 3: Cross multiply
    4,307.94x = 6,461.94 × 1,967.46
  4. Step 4: Simplify right side
    4,307.94x = 12,713,608.47
  5. Step 5: Solve for x
    x = 12,713,608.47/4,307.94
  6. Step 6: Final answer
    x = 2,951.20

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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.