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Finding the Fourth Proportional to 8,357.41, 11,530.76 and 4,772.25

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Solution

The fourth proportional to 8,357.41, 11,530.76 and 4,772.25 is: 6,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.41 : 11,530.76 = 4,772.25 : x
  2. Step 2: Convert to fraction form
    8,357.41/11,530.76 = 4,772.25/x
  3. Step 3: Cross multiply
    8,357.41x = 11,530.76 × 4,772.25
  4. Step 4: Simplify right side
    8,357.41x = 55,027,645.55
  5. Step 5: Solve for x
    x = 55,027,645.55/8,357.41
  6. Step 6: Final answer
    x = 6,584.29

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Half scale
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Double scale
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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.