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Finding the Fourth Proportional to 10,973.66, 16,455.92 and 6,807.42

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Solution

The fourth proportional to 10,973.66, 16,455.92 and 6,807.42 is: 10,208.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.66 : 16,455.92 = 6,807.42 : x
  2. Step 2: Convert to fraction form
    10,973.66/16,455.92 = 6,807.42/x
  3. Step 3: Cross multiply
    10,973.66x = 16,455.92 × 6,807.42
  4. Step 4: Simplify right side
    10,973.66x = 112,022,358.93
  5. Step 5: Solve for x
    x = 112,022,358.93/10,973.66
  6. Step 6: Final answer
    x = 10,208.30

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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.