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Finding the Fourth Proportional to 7,106.94, 9,807.62 and 3,963.13

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Solution

The fourth proportional to 7,106.94, 9,807.62 and 3,963.13 is: 5,469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.94 : 9,807.62 = 3,963.13 : x
  2. Step 2: Convert to fraction form
    7,106.94/9,807.62 = 3,963.13/x
  3. Step 3: Cross multiply
    7,106.94x = 9,807.62 × 3,963.13
  4. Step 4: Simplify right side
    7,106.94x = 38,868,828.72
  5. Step 5: Solve for x
    x = 38,868,828.72/7,106.94
  6. Step 6: Final answer
    x = 5,469.14

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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.