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Finding the Fourth Proportional to 11,602.71, 16,005.87 and 7,346.70

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Solution

The fourth proportional to 11,602.71, 16,005.87 and 7,346.70 is: 10,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,602.71 : 16,005.87 = 7,346.70 : x
  2. Step 2: Convert to fraction form
    11,602.71/16,005.87 = 7,346.70/x
  3. Step 3: Cross multiply
    11,602.71x = 16,005.87 × 7,346.70
  4. Step 4: Simplify right side
    11,602.71x = 117,590,325.13
  5. Step 5: Solve for x
    x = 117,590,325.13/11,602.71
  6. Step 6: Final answer
    x = 10,134.73

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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.