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Finding the Fourth Proportional to 6,846.96, 9,487.84 and 6,430.80

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Solution

The fourth proportional to 6,846.96, 9,487.84 and 6,430.80 is: 8,911.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.96 : 9,487.84 = 6,430.80 : x
  2. Step 2: Convert to fraction form
    6,846.96/9,487.84 = 6,430.80/x
  3. Step 3: Cross multiply
    6,846.96x = 9,487.84 × 6,430.80
  4. Step 4: Simplify right side
    6,846.96x = 61,014,401.47
  5. Step 5: Solve for x
    x = 61,014,401.47/6,846.96
  6. Step 6: Final answer
    x = 8,911.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.