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Finding the Fourth Proportional to 8,709.78, 12,011.54 and 6,477.24

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Solution

The fourth proportional to 8,709.78, 12,011.54 and 6,477.24 is: 8,932.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.78 : 12,011.54 = 6,477.24 : x
  2. Step 2: Convert to fraction form
    8,709.78/12,011.54 = 6,477.24/x
  3. Step 3: Cross multiply
    8,709.78x = 12,011.54 × 6,477.24
  4. Step 4: Simplify right side
    8,709.78x = 77,801,594.96
  5. Step 5: Solve for x
    x = 77,801,594.96/8,709.78
  6. Step 6: Final answer
    x = 8,932.67

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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.