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Finding the Fourth Proportional to 6,657.76, 9,187.83 and 4,004.65

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Solution

The fourth proportional to 6,657.76, 9,187.83 and 4,004.65 is: 5,526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.76 : 9,187.83 = 4,004.65 : x
  2. Step 2: Convert to fraction form
    6,657.76/9,187.83 = 4,004.65/x
  3. Step 3: Cross multiply
    6,657.76x = 9,187.83 × 4,004.65
  4. Step 4: Simplify right side
    6,657.76x = 36,794,043.41
  5. Step 5: Solve for x
    x = 36,794,043.41/6,657.76
  6. Step 6: Final answer
    x = 5,526.49

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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.