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Finding the Fourth Proportional to 6,809.49, 9,397.47 and 4,156.13

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Solution

The fourth proportional to 6,809.49, 9,397.47 and 4,156.13 is: 5,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.49 : 9,397.47 = 4,156.13 : x
  2. Step 2: Convert to fraction form
    6,809.49/9,397.47 = 4,156.13/x
  3. Step 3: Cross multiply
    6,809.49x = 9,397.47 × 4,156.13
  4. Step 4: Simplify right side
    6,809.49x = 39,057,060.00
  5. Step 5: Solve for x
    x = 39,057,060.00/6,809.49
  6. Step 6: Final answer
    x = 5,735.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.