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Finding the Fourth Proportional to 8,648.46, 11,931.34 and 6,385.22

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Solution

The fourth proportional to 8,648.46, 11,931.34 and 6,385.22 is: 8,808.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,648.46 : 11,931.34 = 6,385.22 : x
  2. Step 2: Convert to fraction form
    8,648.46/11,931.34 = 6,385.22/x
  3. Step 3: Cross multiply
    8,648.46x = 11,931.34 × 6,385.22
  4. Step 4: Simplify right side
    8,648.46x = 76,184,230.79
  5. Step 5: Solve for x
    x = 76,184,230.79/8,648.46
  6. Step 6: Final answer
    x = 8,808.99

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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.