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Finding the Fourth Proportional to 11,299.02, 16,946.10 and 7,133.46

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Solution

The fourth proportional to 11,299.02, 16,946.10 and 7,133.46 is: 10,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,299.02 : 16,946.10 = 7,133.46 : x
  2. Step 2: Convert to fraction form
    11,299.02/16,946.10 = 7,133.46/x
  3. Step 3: Cross multiply
    11,299.02x = 16,946.10 × 7,133.46
  4. Step 4: Simplify right side
    11,299.02x = 120,884,326.51
  5. Step 5: Solve for x
    x = 120,884,326.51/11,299.02
  6. Step 6: Final answer
    x = 10,698.66

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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.