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Finding the Fourth Proportional to 6,406.54, 8,845.06 and 4,911.64

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Solution

The fourth proportional to 6,406.54, 8,845.06 and 4,911.64 is: 6,781.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.54 : 8,845.06 = 4,911.64 : x
  2. Step 2: Convert to fraction form
    6,406.54/8,845.06 = 4,911.64/x
  3. Step 3: Cross multiply
    6,406.54x = 8,845.06 × 4,911.64
  4. Step 4: Simplify right side
    6,406.54x = 43,443,750.50
  5. Step 5: Solve for x
    x = 43,443,750.50/6,406.54
  6. Step 6: Final answer
    x = 6,781.16

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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.