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Finding the Fourth Proportional to 37,295.16, 55,942.74 and 9,591

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Solution

The fourth proportional to 37,295.16, 55,942.74 and 9,591 is: 14,386.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,295.16 : 55,942.74 = 9,591 : x
  2. Step 2: Convert to fraction form
    37,295.16/55,942.74 = 9,591/x
  3. Step 3: Cross multiply
    37,295.16x = 55,942.74 × 9,591
  4. Step 4: Simplify right side
    37,295.16x = 536,546,819.34
  5. Step 5: Solve for x
    x = 536,546,819.34/37,295.16
  6. Step 6: Final answer
    x = 14,386.50

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.