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Finding the Fourth Proportional to 8,323.96, 12,477.66 and 4,627.84

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Solution

The fourth proportional to 8,323.96, 12,477.66 and 4,627.84 is: 6,937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.96 : 12,477.66 = 4,627.84 : x
  2. Step 2: Convert to fraction form
    8,323.96/12,477.66 = 4,627.84/x
  3. Step 3: Cross multiply
    8,323.96x = 12,477.66 × 4,627.84
  4. Step 4: Simplify right side
    8,323.96x = 57,744,614.05
  5. Step 5: Solve for x
    x = 57,744,614.05/8,323.96
  6. Step 6: Final answer
    x = 6,937.16

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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.