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Finding the Fourth Proportional to 7,810.68, 10,778.90 and 4,273.97

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Solution

The fourth proportional to 7,810.68, 10,778.90 and 4,273.97 is: 5,898.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.68 : 10,778.90 = 4,273.97 : x
  2. Step 2: Convert to fraction form
    7,810.68/10,778.90 = 4,273.97/x
  3. Step 3: Cross multiply
    7,810.68x = 10,778.90 × 4,273.97
  4. Step 4: Simplify right side
    7,810.68x = 46,068,673.86
  5. Step 5: Solve for x
    x = 46,068,673.86/7,810.68
  6. Step 6: Final answer
    x = 5,898.16

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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.