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Finding the Fourth Proportional to 8,783.53, 13,178.63 and 4,564.15

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Solution

The fourth proportional to 8,783.53, 13,178.63 and 4,564.15 is: 6,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,783.53 : 13,178.63 = 4,564.15 : x
  2. Step 2: Convert to fraction form
    8,783.53/13,178.63 = 4,564.15/x
  3. Step 3: Cross multiply
    8,783.53x = 13,178.63 × 4,564.15
  4. Step 4: Simplify right side
    8,783.53x = 60,149,244.11
  5. Step 5: Solve for x
    x = 60,149,244.11/8,783.53
  6. Step 6: Final answer
    x = 6,847.96

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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.