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Finding the Fourth Proportional to 6,542.94, 9,053.02 and 5,705.38

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Solution

The fourth proportional to 6,542.94, 9,053.02 and 5,705.38 is: 7,894.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.94 : 9,053.02 = 5,705.38 : x
  2. Step 2: Convert to fraction form
    6,542.94/9,053.02 = 5,705.38/x
  3. Step 3: Cross multiply
    6,542.94x = 9,053.02 × 5,705.38
  4. Step 4: Simplify right side
    6,542.94x = 51,650,937.70
  5. Step 5: Solve for x
    x = 51,650,937.70/6,542.94
  6. Step 6: Final answer
    x = 7,894.14

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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.