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Finding the Fourth Proportional to 7,966.04, 11,938.26 and 4,451

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Solution

The fourth proportional to 7,966.04, 11,938.26 and 4,451 is: 6,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,966.04 : 11,938.26 = 4,451 : x
  2. Step 2: Convert to fraction form
    7,966.04/11,938.26 = 4,451/x
  3. Step 3: Cross multiply
    7,966.04x = 11,938.26 × 4,451
  4. Step 4: Simplify right side
    7,966.04x = 53,137,195.26
  5. Step 5: Solve for x
    x = 53,137,195.26/7,966.04
  6. Step 6: Final answer
    x = 6,670.47

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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.