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Finding the Fourth Proportional to 11,807.58, 16,295.76 and 6,772.08

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Solution

The fourth proportional to 11,807.58, 16,295.76 and 6,772.08 is: 9,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.58 : 16,295.76 = 6,772.08 : x
  2. Step 2: Convert to fraction form
    11,807.58/16,295.76 = 6,772.08/x
  3. Step 3: Cross multiply
    11,807.58x = 16,295.76 × 6,772.08
  4. Step 4: Simplify right side
    11,807.58x = 110,356,190.38
  5. Step 5: Solve for x
    x = 110,356,190.38/11,807.58
  6. Step 6: Final answer
    x = 9,346.22

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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.