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Finding the Fourth Proportional to 7,698.27, 11,486.94 and 7,228.06

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Solution

The fourth proportional to 7,698.27, 11,486.94 and 7,228.06 is: 10,785.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.27 : 11,486.94 = 7,228.06 : x
  2. Step 2: Convert to fraction form
    7,698.27/11,486.94 = 7,228.06/x
  3. Step 3: Cross multiply
    7,698.27x = 11,486.94 × 7,228.06
  4. Step 4: Simplify right side
    7,698.27x = 83,028,273.47
  5. Step 5: Solve for x
    x = 83,028,273.47/7,698.27
  6. Step 6: Final answer
    x = 10,785.32

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Half scale
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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.