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Finding the Fourth Proportional to 7,810.74, 10,778.94 and 4,274.28

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Solution

The fourth proportional to 7,810.74, 10,778.94 and 4,274.28 is: 5,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,810.74 : 10,778.94 = 4,274.28 : x
  2. Step 2: Convert to fraction form
    7,810.74/10,778.94 = 4,274.28/x
  3. Step 3: Cross multiply
    7,810.74x = 10,778.94 × 4,274.28
  4. Step 4: Simplify right side
    7,810.74x = 46,072,207.66
  5. Step 5: Solve for x
    x = 46,072,207.66/7,810.74
  6. Step 6: Final answer
    x = 5,898.57

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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.