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Finding the Fourth Proportional to 6,480.76, 9,725.99 and 4,606.42

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Solution

The fourth proportional to 6,480.76, 9,725.99 and 4,606.42 is: 6,913.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.76 : 9,725.99 = 4,606.42 : x
  2. Step 2: Convert to fraction form
    6,480.76/9,725.99 = 4,606.42/x
  3. Step 3: Cross multiply
    6,480.76x = 9,725.99 × 4,606.42
  4. Step 4: Simplify right side
    6,480.76x = 44,801,994.86
  5. Step 5: Solve for x
    x = 44,801,994.86/6,480.76
  6. Step 6: Final answer
    x = 6,913.08

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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.