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Finding the Fourth Proportional to 6,822.70, 9,412.41 and 4,935.40

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Solution

The fourth proportional to 6,822.70, 9,412.41 and 4,935.40 is: 6,808.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.70 : 9,412.41 = 4,935.40 : x
  2. Step 2: Convert to fraction form
    6,822.70/9,412.41 = 4,935.40/x
  3. Step 3: Cross multiply
    6,822.70x = 9,412.41 × 4,935.40
  4. Step 4: Simplify right side
    6,822.70x = 46,454,008.31
  5. Step 5: Solve for x
    x = 46,454,008.31/6,822.70
  6. Step 6: Final answer
    x = 6,808.74

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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.