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Finding the Fourth Proportional to 6,097.78, 8,415.18 and 3,740.68

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Solution

The fourth proportional to 6,097.78, 8,415.18 and 3,740.68 is: 5,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.78 : 8,415.18 = 3,740.68 : x
  2. Step 2: Convert to fraction form
    6,097.78/8,415.18 = 3,740.68/x
  3. Step 3: Cross multiply
    6,097.78x = 8,415.18 × 3,740.68
  4. Step 4: Simplify right side
    6,097.78x = 31,478,434.74
  5. Step 5: Solve for x
    x = 31,478,434.74/6,097.78
  6. Step 6: Final answer
    x = 5,162.28

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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.