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Finding the Fourth Proportional to 7,847.76, 10,830.06 and 4,310.76

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Solution

The fourth proportional to 7,847.76, 10,830.06 and 4,310.76 is: 5,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.76 : 10,830.06 = 4,310.76 : x
  2. Step 2: Convert to fraction form
    7,847.76/10,830.06 = 4,310.76/x
  3. Step 3: Cross multiply
    7,847.76x = 10,830.06 × 4,310.76
  4. Step 4: Simplify right side
    7,847.76x = 46,685,789.45
  5. Step 5: Solve for x
    x = 46,685,789.45/7,847.76
  6. Step 6: Final answer
    x = 5,948.93

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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.