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Finding the Fourth Proportional to 11,671.32, 17,477.41 and 7,237.64

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Solution

The fourth proportional to 11,671.32, 17,477.41 and 7,237.64 is: 10,838.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.32 : 17,477.41 = 7,237.64 : x
  2. Step 2: Convert to fraction form
    11,671.32/17,477.41 = 7,237.64/x
  3. Step 3: Cross multiply
    11,671.32x = 17,477.41 × 7,237.64
  4. Step 4: Simplify right side
    11,671.32x = 126,495,201.71
  5. Step 5: Solve for x
    x = 126,495,201.71/11,671.32
  6. Step 6: Final answer
    x = 10,838.12

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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.