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Finding the Fourth Proportional to 11,772.64, 17,665.01 and 6,506.67

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Solution

The fourth proportional to 11,772.64, 17,665.01 and 6,506.67 is: 9,763.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.64 : 17,665.01 = 6,506.67 : x
  2. Step 2: Convert to fraction form
    11,772.64/17,665.01 = 6,506.67/x
  3. Step 3: Cross multiply
    11,772.64x = 17,665.01 × 6,506.67
  4. Step 4: Simplify right side
    11,772.64x = 114,940,345.39
  5. Step 5: Solve for x
    x = 114,940,345.39/11,772.64
  6. Step 6: Final answer
    x = 9,763.35

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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.