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Finding the Fourth Proportional to 6,800.07, 9,384.77 and 4,566.60

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Solution

The fourth proportional to 6,800.07, 9,384.77 and 4,566.60 is: 6,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.07 : 9,384.77 = 4,566.60 : x
  2. Step 2: Convert to fraction form
    6,800.07/9,384.77 = 4,566.60/x
  3. Step 3: Cross multiply
    6,800.07x = 9,384.77 × 4,566.60
  4. Step 4: Simplify right side
    6,800.07x = 42,856,490.68
  5. Step 5: Solve for x
    x = 42,856,490.68/6,800.07
  6. Step 6: Final answer
    x = 6,302.36

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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.