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Finding the Fourth Proportional to 6,497.78, 9,740.78 and 2,336.80

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Solution

The fourth proportional to 6,497.78, 9,740.78 and 2,336.80 is: 3,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.78 : 9,740.78 = 2,336.80 : x
  2. Step 2: Convert to fraction form
    6,497.78/9,740.78 = 2,336.80/x
  3. Step 3: Cross multiply
    6,497.78x = 9,740.78 × 2,336.80
  4. Step 4: Simplify right side
    6,497.78x = 22,762,254.70
  5. Step 5: Solve for x
    x = 22,762,254.70/6,497.78
  6. Step 6: Final answer
    x = 3,503.08

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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.