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Finding the Fourth Proportional to 9,386.38, 12,953.22 and 5,194.63

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Solution

The fourth proportional to 9,386.38, 12,953.22 and 5,194.63 is: 7,168.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386.38 : 12,953.22 = 5,194.63 : x
  2. Step 2: Convert to fraction form
    9,386.38/12,953.22 = 5,194.63/x
  3. Step 3: Cross multiply
    9,386.38x = 12,953.22 × 5,194.63
  4. Step 4: Simplify right side
    9,386.38x = 67,287,185.21
  5. Step 5: Solve for x
    x = 67,287,185.21/9,386.38
  6. Step 6: Final answer
    x = 7,168.60

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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.