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Finding the Fourth Proportional to 4,966.17, 7,412.09 and 4,884.16

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Solution

The fourth proportional to 4,966.17, 7,412.09 and 4,884.16 is: 7,289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.17 : 7,412.09 = 4,884.16 : x
  2. Step 2: Convert to fraction form
    4,966.17/7,412.09 = 4,884.16/x
  3. Step 3: Cross multiply
    4,966.17x = 7,412.09 × 4,884.16
  4. Step 4: Simplify right side
    4,966.17x = 36,201,833.49
  5. Step 5: Solve for x
    x = 36,201,833.49/4,966.17
  6. Step 6: Final answer
    x = 7,289.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.